Problem 1974. Length of a short side

Created by Tanya Morton

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/image","targetMode":"","relationshipId":"rId1","target":"/media/image1.png"}],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Calculate the length of the short side, a, of a right-angled triangle with hypotenuse of length c, and other short side of length b.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"-1\"/><w:attr w:name=\"width\" w:val=\"-1\"/><w:attr w:name=\"relationshipId\" w:val=\"rId1\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Image courtesy of</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://upload.wikimedia.org/wikipedia/commons/7/7c/Right_Angle_Triangle.svg\"><w:r><w:t>Wikipedia</w:t></w:r></w:hyperlink><w:r><w:t>.</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"},{"partUri":"/media/image1.png","contentType":"image/png","content":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAu8AAAHbCAYAAAB7gHR3AAA5WklEQVR42u3dCXSV9Z3/cUnuzZ5AFkJCA4EYCDsSlijbCKQFMV3+06bajtfRHic9Hm1mptM2o1VvnenU2HHGTGtPS6ftf66dv85kOtVeyjIGpOxhlU32ACEECCSQfblZPn+fn0eGW1AWQ/gJ79c5z0kMeW6SLya+ffK7v+cOAQAAAPhEuIMRAAAA4Fb0r//6ryouLr6q46c//alKS0t14MABdXd3E+8AAABAXxo1apTuuOOOaz5SU1P1rW99SzU1NcQ7AAAAYHO8f3DEx8frjTfeIN4BAACAvo73WbNmKTc3N+iYN2+eJk+erIyMDPXr1++SgHe5XFq+fDnxDgAAAPRlvFdXV3/k+9fV1amkpEQDBgwIOi89PV0dHR3EOwAAAGBLvH9g+/btCg8PDzp36dKlxDsAAABgW7w7Hn300aBzn3nmGeIdAAAAsDHenW0mLz73scceI94BAAAAG+P91VdfDTr38ccfJ94BAAAAG+P9u9/9btC5L730EvEOAAAA2Bbvzc3NGjJkSNC5u3btIt4BAAAAm+K9srJSc+bMCTrvs5/9rDVfE/EOAACA2yLen376aRUXF1/2+Ju/+RvNnTvX3JTp4nOmTp2q2tpa4h0AAADoy3i/2sPtdmv69On6yU9+okAgYNXXRLwDAACAeL/o6Nevn7Kzs/Xyyy+b9e/EOwAAANDH8T5hwgRNnjz5ssf48eMVExNzSchnZGRo69atxDsAAADQl/F+pSesdnd3a9OmTfryl78cdN6AAQPYbQYAAACwKd4v9v3vfz/o3LvuusvEPfEOAAAAWBbvTqiPGzcu6PzFixcT7wAAAIBt8e547rnngs7/+te/TrwDAAAANsb7q6++GnT+jBkziHcAAADAxnh/7bXXgs53ltEQ7wAAAICF8f7iiy8GnT979mziHQAAALAx3u+9996g8x955BHiHQAAALAt3t98881Lbtj0X//1X8Q7AAAAYEu8t7S06OWXX1ZkZGTQuSNGjFB7ezvxDgAAAPRFvD/xxBMqKiq65PjOd76jgoIC5ebmKjY29pIr7hEREVq9erUVXxPxDgAAgNsi3q/nSExM1LJly6z5moh3AAAAEO9/dMTHx+vJJ5/UmTNnrPqaiHcAAADckh599FGzFOZKx3333acHH3zQ3EH1H//xH7Vy5Uq1tbVZ+TUR7wAAAMAnBPEOAAAAEO8AAAAAiHcAAACAeAcAAABAvAMAAAAg3gEAAIAPVFRU6LHHHtOePXuIdwAAAMBGTU1NeuqppxQREWFutPTv//7vxDsAAABgk56eHpWWlmro0KH61Kc+JZ/Pp8GDBxPvAAAAgE22bNmi6dOnKzIyUkVFRebqu8OJeOIdAAAAsEB1dbUKCgoUEhKivLw8HT16NOjPiXcAAADgJuvo6FBJSYliY2OVnZ2tNWvWXPb9iHcAAADgJvL7/crIyFBiYqIJ+K6urg99X+IdAAAAuAn27t2r+fPny+12q7CwUPX19Vc8h3gHAAAA+lBdXZ2J9dDQUOXm5urdd9+96nOJdwAAAKAPBAIBLVq0SElJScrKytKSJUuu+TGIdwAAAOAGKysr07hx4xQfH6/i4mLzBNXrQbwDAAAAN8jBgweVn59vtn70eDyqqan5WI9HvAMAAAC9zLmpktfrVXh4uObMmaOdO3f2yuMS7wAAAEAv6e7uls/n06BBgzRkyBDzem8i3gEAAIBeUF5erpycHEVHR5ur7m1tbb3+MYh3AAAA4GOoqqoy69mdde3O+vbKysob9rGIdwAAAOA6tLS0mJ1jYmJiNGXKFK1fv/6Gf0ziHQAAALhGfr9f6enpGjx4sNm73Vnr3heIdwAAAOAqbdu2TTNnzlRYWJi5S2pjY2OffnziHQAAALiCs2fPmlgPDQ1VXl6eKioqbsrnQbwDAAAAHyIQCKikpERxcXEaPXq0li9fflM/H+IdAAAAuIyysjIT7AkJCSbgu7q6bvrnRLwDAAAAF1m//rBSUtbK7R6kgoICs2TGFsQ7AAAA8J5z586Zde0uV5Sio4/rS186Z93nSLwDAADgttbZ2Wm2exw4cKBGjBih0tJSrV4thYZK69YR78Q7AAAArLBy5UpNmDDB3GjJ6/Wqvb39wp898og0apTU3Ey8E+8AAAC4aQ4fPqz8/HyFhITI4/Ho9OnTl7xPfb00bJhUUEC8E+8AAADoc83NzeYKe0REhHJyclReXv6R7+8sm3G5pNdfJ96JdwAAAPSJnp4e+Xw+paSkKC0tzbzuvO1qvPiiFBXl3F2VeCfeAQAAcENt3rxZ99xzz3sBHqWioiI1NTVd82M89JA0ZIhUXU28E+8AAADoddXvlbaznr1fv37Ky8vTsWPHrvux2tqkGTOkceOkujrinXgHAABAr2htbVVxcbFiY2OVnZ2ttWvX9srjnj8v3XWXNG2a1NBAvBPvAAAA+Fj8fr+GDx+u1NRUs3d7V1dXrz5+TY00Zow0ebJ0M268SrwDAADgE2/79u2aPXu23G63uUtqww28NO5E+5Qp0ujR0sdYiUO8E+8AAAC3l9raWhProaGhZl27s397X3D+32DePCk5WVqzhngn3gEAAPChAoGASkpK1L9/f2VlZWnp0qV9/jl0dkpPPCGFhUk//rGzHSXxTrwDAAAgSFlZmcaOHav4+HgT8J1ORd9Ev/jF+/vA5+VJZ84Q78Q7AAAAdODAAbM0xuVyqaCg4L1QPmPN57Z3rzRp0vvLaG5kWxPvAAAAsNr58+fNzZXCw8M1d+5c7dy508rPs6NDev55KSJCys2V9uwh3ol3AACA20R3d7d8Pp+Sk5OVmZmp0tLST8TnffCgNH++FBoq/fmf9+6ONMQ7AAAArPOHP/xBEydOVHR0tLxer9qcW5x+wqxbJ82cKYWEvL8eftMm4p14BwAAuIVUVVXJ4/G8F7wh5uWpU6c+0V+PswPNsmXvL6Pp1+/9mP/lL6XGRuKdeAcAAPiEamlpMVfYIyIiNHXqVG3YsOGW+xp37JC+8Q0pMfH93Wm+8IX3d6o5fZp4J94BAAA+AXp6esxa9vT0dBOmzhr3nr7YMP0mam+X3nhDevTR93enueO9cs3Kev+fFy2S1q6V6uqIdwAAAFhk69atmjFjhiIjI81uMo3Xu5bkE6y725mDVFIi5edLGRnvr5F3gn7AAGnMGGnOnPf/7MEHpejof9fzzy8j3gEAANA3Tp48afZpd9a1O/u2HzlyhKFcpKXl/aD/7W/fv3PrM89ITz6p92bmLLd5Q88++z/EOwAAAG6sjo4Oc0fUuLg4TZo0SatXr2Yo14hlMwAAALjh/H6/MjIylJiYaAK+q6uLoRDvxDsAAIBN9u3bpwULFsjtdquwsFD19fUMhXgn3gEAAGxSV1dnYt3lcik3N1d79uxhKMQ78Q4AAGCTzs5OLVq0SAMHDtTIkSO1ePFihkK8E+8AAAC2WbFihcaPH68BAwaouLhY7c6G5iDeiXcAAAB7HDp0SPn5+WbrR4/Ho5qaGoZCvBPvAAAANmlubpbX61V4eLjuvfde7dixg6EQ78Q7AACATXp6euTz+ZSSkqK0tDTzuvM2EO/EOwAAgEU2bdqku+++W1FRUeaqe1tbG0Mh3ol3AAAAm5w4ccKsZ3fWtTvr2ysrKxkK8U68AwAA2KS1tdXsHBMTE6PJkydr3bp1DIV4J94BAABs4/f7NWzYMKWmppq927u7uxkK8U68AwAA2GTbtm2aNWuWwsLCzF1SGxoaGArxTrwDAADYpLa21sR6aGio8vLyVFFRwVCId+IdAADAJoFAQCUlJerfv79GjRqlZcuWMRTinXgHAACwTVlZmcaMGaOEhAQT8J2dnQyFeCfeAQAAbLJ//37df//9crlcKigo0NmzZxkK8U68AwAA2OTcuXMqKioyT0adN2+edu3axVCId+IdAADAJs42jz6fT8nJycrMzFRpaSlDId6JdwAAANu8/fbbmjBhgqKjo+X1etXe3s5QiHfiHQAAwCbHjx+Xx+NRSEiIeXnq1CmGQrwT7wAAADZpbm42V9gjIiI0bdo0bdy4kaEQ78Q7AACATXp6esxa9qFDh5rIc9a4O28D8U68AwAAWGTLli2aPn26IiMjzW4yTU1NDIV4J94BAABsUl1dbfZpd9a15+Xl6ejRowyFeCfeAQAAbNLR0WHuiBobG6vs7GytWbOGoRDvxDsAAIBt/H6/MjIylJiYaAK+q6uLoRDvxDsAAIBN9u7dq/nz58vtdquwsFD19fUMhXgn3gEAAGxSV1dnYj00NFS5ubl69913GQrxTrwDAADYJBAIaNGiRUpKSlJWVpaWLFnCUIh34h0AAMA2ZWVlGjdunOLj41VcXGyeoAoQ7wAAABY5ePCg8vPzzdaPHo9HNTU1DAXEOwAAgE2cmyp5vV6Fh4drzpw52rlzJ0MB8Q4AAGCT7u5u+Xw+DRo0SEOGDDGvA8Q7AACAZcrLy5WTk6Po6Ghz1b2trY2hgHgHAACwSVVVlVnP7qxrd9a3V1ZWMhQQ7wAAADZpaWkxO8fExMRoypQpWr9+PUMB8U68AwAA2/j9fqWnp2vw4MFm73ZnrTtAvBPvAADAItu2bdPMmTMVFhZm7pLa2NjIUEC8E+8AAMAmZ8+eNbEeGhqqvLw8VVRUMBQQ78Q7AACwSSAQUElJieLi4jR69GgtX76coYB4J94BAIBtysrKTLAnJCSYgO/q6mIoIN6JdwAAYJP9+/dr4cKFcrvdKigoMEtmAOKdeAcAABY5d+6cWdfucrmUm5ur3bt3MxQQ78Q7AACwSWdnp9nuceDAgRoxYoRKS0sZCoh34h0AANhm5cqVmjBhgrnRktfrVXt7O0MB8U68AwAAmxw+fFj5+fkKCQmRx+PR6dOnGQqId+IdAADYpLm52Vxhj4iIUE5OjsrLyxkKiHfiHQAA2KSnp0c+n08pKSlKS0szrztvA4h34h0AAFhk8+bNuueeexQVFaWioiI1NTUxFBDvxDsAALBJdXW1Wc/er18/5eXl6dixYwwFxDvxDgAAbNLa2qri4mLFxsYqOztba9euZSgg3ol3AABgG7/fr+HDhys1NdXs3d7V1cVQQLwT7wAAwCbbt2/X7Nmz5Xa7zV1SGxoaGAqId+IdAADYpLa21sR6aGioWdfu7N8OEO/EOwAAsEggEFBJSYn69++vrKwsLV26lKGAeCfeAQCAbcrKyjR27FjFx8ebgO/s7GQoIN6JdwAAYJMDBw6YpTEul0sFBQU6c+YMQwHxTrwDAACbnD9/3txcKTw8XHPnztWuXbsYCoh34h0AANiku7tbPp9PycnJyszMVGlpKUMB8U68AwAA26xatUoTJ05UdHS0vF6v2traGAqId+IdAADYpKqqSh6PRyEhIeblqVOnGAqId+IdAADYpKWlxVxhj4iI0NSpU7VhwwaGAuKdeAcAADbp6ekxa9nT09NNyDhr3J23AcQ78Q4AACyydetWzZgxQ5GRkWY3mcbGRoYC4p14BwAANjl58qTZp91Z1+7s237kyBGGAuKdeAcAADbp6Ogwd0SNi4vTpEmTtHr1aoYC4p14BwAAtvH7/crIyFBiYqIJ+K6uLoYC4p14BwAANtm3b58WLFggt9utwsJC1dfXMxSAeAcAADapq6szse5yuZSbm6s9e/YwFIB4BwAANuns7NSiRYuUlJSkkSNHavHixQwFIN4BAIBtVqxYofHjx2vAgAEqLi5We3s7QwGIdwAAYJNDhw4pPz/fbP3o8XhUU1PDUADiHQAA2KS5uVler1fh4eG69957tWPHDoYCEO/EOwAANunp6ZHP51NKSorS0tLM687bABDvxDsAABbZtGmT7r77bkVFRZmr7m1tbQwFIN6JdwAAbHLixAmznt1Z1+6sb6+srGQoAPFOvAMAYJPW1lazc0xMTIwmT56sdevWMRSAeCfeAQCwjd/v17Bhw5Sammr2bu/u7mYoAPFOvAPArcZ58uK+ffu0atUq/eY3v1Fpaanefvttllp8Qmzbtk2zZs1SWFiYuUtqQ0MDQwGId+IdAG4177zzjlkXPWjQIN1xxx2XPZw/e+ihh/TWW29xJdcytbW1JtZDQ0OVl5eniooKhgIQ78Q7ANxqmpqa9NWvflX9+vX70Gi/3LFlyxaGZ4FAIKCSkhL1799fo0aN0rJlyxgKQLwT7wBwKzp58qQmTpx4SZg7u5KMHTtWn/70p7VgwQLzZMfIyEji3TJlZWUaM2aMEhISTMB3dnYyFIB4J94B4FbkXLGdOXNmUJDHxsbq7//+71VTU3PJ+zthuGbNGj3xxBOKjo4m3m+i/fv36/7775fL5VJBQYHOnj3LUADinXgHgFvZ888/HxTugwcP1p49e67qXCcWz58/zxD72Llz51RUVGSejDpv3jzt2rWLoQDEO/EOALe65uZmJSYmXgh35wruhg0bGIylnCcH+3w+JScnKzMz0+wABIB4J94B4Dbh7Pt98VX3r33tawzFUs42nRMmTDBLlbxer9rb2xkKQLwT7wBwO3nggQeC4n3Tpk0MxTLHjx83W3c6Tx52Xp46dYqhAMQ78Q4At6O0tLSgJ6l2dXUxFEs4S5qcK+wRERGaNm2aNm7cyFAA4p14B4DblXMHVWeN+wfx7gQi7Ph7cdayDx061ESBs8bdeRsA4p14B4DbmLNLzMVLZpx93HFzOdtuTp8+3eyl7+wm49w4CwDxTrwDAMw2jxfH+8KFCxnKTVJdXW32aXfWtefl5eno0aMMBSDeiXcAwP9y1rc7sfhBvM+YMYOh9LGOjg5zR1Tn+QbZ2dnm5lcAiHfiHQBwWRfv8Z6SksJA+pDf71dGRob5O3ACnicLA8Q78Q4A+Ej33Xdf0NKZI0eOMJQbbO/evZo/f77cbrcKCwtVX1/PUADinXgHAFxZcXFxULw7WxPixqirqzOxHhoaqtzcXL377rsMBSDeiXcAwNU7ceKEwsLCLsS7s4SDmwD1rkAgYO5km5SUpKysLC1ZsoShAMQ78Q4AuD6PPvpo0NX3OXPmXNMWhazV/nBlZWUaN26c4uPjzW85nCeoAiDeiXcAwHVztowcMmRIUMBPmjRJGzZs+NBznAh94403NHPmTLM3OYIdPHhQ+fn5Zjcfj8ejmpoahgIQ78Q7AKB3bNy4UXFxcUEB7xwTJkww67RfeOEFvfTSS+bGQffff7+5kvzB+xDv/8v5jYXzvIHw8HDzG4ydO3cyFIB4J94BAL1v9+7dGjZs2CUBf6WDeJe6u7vl8/k0aNAg81sM53UAxDvxDgC4oVpaWvTiiy+aCL1StDuh/73vfU+NjY239czKy8uVk5Oj6Ohoc9W9ra2Nf5EA4p14BwD0HedK8tatW83Ng55++mkVFBTo8ccf17PPPqtXX31V+/btu+1nVFVVZdazO+vanfXtlZWV/IsDEO/EOwAANnF+O+HsHBMTE6MpU6Zo/fr1DAUg3ol3AABs4/f7lZ6ersGDB5u9253fUAAg3ol3AAAssm3bNrMtpnNDK2f3ndt9nT8A4h0AAOs4e+A7sR4aGqq8vDxVVFQwFADEOwAANgkEAubJus7e96NHj9by5csZCgDiHQAA25SVlZlgT0hIMAHf1dXFUAAQ7wAA2GT//v1auHCh3G632RrTWTIDAMQ7AAAWOXfunFnX7nK5lJuba+40CwDEOwAAFuns7DTbPQ4cOFAjRoxQaWkpQwFAvBPvAADbrFy5UhMmTDA3WvJ6vWpvb2coAIh34h0AYJPDhw8rPz9fISEh8ng8On36NEMBQLwT7wAAmzQ3N5sr7BEREcrJyVF5eTlDAUC8E+8AAJv09PTI5/MpJSVFaWlp5nXnbQBwK8S789ydjRs36l/+5V/09a9/XZ/73OfME++dm8o5v1184YUXtH79enV3dxPvAAC7bd68Wffcc4+ioqJUVFSkpqYmhgLgloj3FStW6MEHHzTP27njjjuueIwZM0a/+c1viHcAgH2qq6vNFad+/fqZq0/Hjh1jKABuqXj/zGc+c1XR/sfHd77zHeIdAGCH1tZWFRcXKzY2VtnZ2Vq7di1DAXDLx7vz8+7xxx/XK6+8ov/8z//Um2++aT4f5zeOWVlZlwT8z3/+c+IdAHBz+f1+DR8+XKmpqWbv9q6uLoYC4JaN9wceeEDPPffcFX+z6DzH55e//KV5sv4H8e5c4KivryfeAQB9b/v27Zo9e7bcbre5S2pDQwNDAXDLx/u1PgHVuSJ/8dV35wmuxDsAoM/U1taaWA8NDTXr2p392wHgdon36zF58uQL8b5gwQLiHQBw4wUCAZWUlKh///5mLefSpUsZCgDi/Sp8+9vfvhDvCQkJxDsA4MYqKyvT2LFjFR8fbwLe2d8YAIj3/+UsHTxx4oQqKiouOZ566qmgpTNX2j6XeAcAXJcDBw6YpTEul0sFBQU6c+YMQwFAvL/n5MmTevnll82NmQYOHHhN20ZWVVUR7wCA3nP+/Hmz1Vl4eLjmzp2rXbt2MRQAxPt7nB21vve97ykyMvK69nt3jv379xPvAICPz9lFwefzKTk5WZmZmSotLWUoAIj3i35GOndXvVyQp6Wlafz48WYXrs9//vPKz8+/cEycOJF4BwD0rlWrVpn/wERHR8vr9aqtrY2hACDeL/KLX/wiKMJTUlL005/+VKdPn/7I81566SXiHQDQO5y1lx6PRyEhIeblqVOnGAoA4v0ynN9IfhDgiYmJOn78+FWd98wzzxDvAICPp6WlxVxhd+7+N3XqVG3YsIGhACDeP8ShQ4eCAvzZZ5+96nP/7M/+jHgHAFwf55bdzlr29PR08x8+Z4278zYAIN4/3IoVK4IC/I033rjqn7nOz1viHQBwzbZu3aoZM2aYXRKc3WQaGxsZCgDi/Sq8+eabQQHu9/uv6ry33nqL3WYAANfG2Y/Y2afdWdfu7Nt+5MgRhgKAeL8G69atCwpwZ9nhlXR0dFyy0wzxDgD4yP9wOHdEjYuL06RJk7R69WqGAoB4vw7Nzc3m3hcfBLhzY6bq6uoPff9AIKAHHniAfd4BAFfH+ZVuRkaG2RHBCXjnxiIAQLxfv6985StBEX7nnXdqyZIlZv/3i6N96dKl5oLJB+83btw44h0AcHn79u3TggUL5Ha7VVhYqPr6eoYCgHjvBc6Sw4SEhEuupPfv31933XWXxowZo5iYmKA/e/jhh/XP//zPxDsAIFhdXZ2JdZfLpdzcXO3Zs4ehACDee5mzra5zc6bLLYe5+OjXr5/+6q/+Su3t7cQ7AOB/dXZ2atGiRUpKStLIkSO1ePFihgKAeL+BampqzI5daWlpl70K71xtv/g5Rr///e+Vn59/4fiotfLEOwDcwpx9h8ePH68BAwaouLjYPEEVAIj3vuOE+DvvvKNdu3bp9OnTvfKYxDsA3GKcO/05V2+crR89Ho+5CgQAxPutgXgHgFuEs1WZs7ews13Zvffeqx07djAUAMQ78Q4AsIlze22fz2eeJOWssXRed94GAMQ78Q4AsMimTZt09913Kyoqylx1b2trYygAQLwDAGxy4sQJs57dWdfurG+vrKxkKABAvAMAbNLa2mp2jnFu9DF58mStW7eOoQAA8Q4AsI3f79ewYcOUmppq9m6/+JbbAADiHQBggW3btmnWrFkKCwszd0ltaGhgKABAvAMAbFJbW2tiPTQ0VHl5eaqoqGAoAEC8AwBsEggEVFJSYm6jPWrUKC1btoyhAADxTrwDgG3Kyso0ZswYJSQkmIDv7OxkKABAvBPvAGCT/fv3a+HChXK5XCooKNDZs2cZCgAQ78Q7ANjk3LlzKioqMk9GnTdvnnbt2sVQAIB4J94BwCbONo8+n0/JycnKzMxUaWkpQwEA4p14BwDbvP3225owYYKio6Pl9XrV3t7OUACAeCfeAcAmx48fl8fjUUhIiHl56tQphgIAxDvxDgA2aW5uNlfYIyIiNG3aNG3cuJGhAADxTrwDgE16enrMWvahQ4ea/4g4a9ydtwEAiHfiHQAssmXLFk2fPl2RkZFmN5mmpiaGAgDEO/EOADaprq42+7Q769rz8vJ09OhRhgIAxDvxDgA26ejoMHdEjY2NVXZ2ttasWcNQAIB4J94BwDZ+v18ZGRlKTEw0Ad/V1cVQAIB4J94BwCZ79+7V/Pnz5Xa7VVhYqPr6eoYCAMQ78Q4ANqmrqzOxHhoaqtzcXL377rsMBQCId+IdAGwSCAS0aNEiJSUlKSsrS0uWLGEoAEC8E+8AYJuysjKNGzdO8fHxKi4uNk9QBQAQ78Q7AFjk4MGDys/PN1s/ejwe1dTUMBQAIN6JdwCwiXNTJa/Xq/DwcM2ZM0c7d+5kKABAvBPvAGCT7u5u+Xw+DRo0SEOGDDGvAwCId+IdACxTXl6unJwcRUdHm6vubW1tDAUAiHfiHQBsUlVVZdazO+vanfXtlZWVDAUAiHfiHQBs0tLSYnaOiYmJ0ZQpU7R+/XqGAgDEO/EOALbx+/1KT0/X4MGDzd7tzlp3AADxTrwDgEW2bdummTNnKiwszNwltbGxkaEAAPFOvAOATc6ePWtiPTQ0VHl5eaqoqGAoAEC8E+8AYJNAIKCSkhLFxcVp9OjRWr58OUMBAOKdeAcA25SVlZlgT0hIMAHf1dXFUACAeCfeAcAm+/fv18KFC+V2u1VQUGCWzAAAiHfiHQAscu7cObOu3eVyKTc3V7t372YoAEC8E+8AYJPOzk6z3ePAgQM1YsQIlZaWMhQAIN6JdwCwzcqVKzVhwgRzoyWv16v29naGAgAg3gHAJocOHVJ+fr5CQkLk8Xh0+vRphgIAIN4BwCbNzc3mCntERIRycnJUXl7OUAAAxDsA2KSnp0c+n08pKSlKS0szrztvAwCAeAcAi2zevFn33HOPoqKiVFRUpKamJoYCACDeAcAm1dXVZj27s67dWd9+7NgxhgIAIN4BwCatra0qLi5WbGyssrOztXbtWoYCACDeiXcAtvH7/Ro+fLhSU1PN3u1dXV0MBQBAvBPvAGyyfft2zZ49W26329wltaGhgaEAAIh34h2ATWpra02sh4aGKi8vT4cPH2YoAADinXgHYJNAIKCSkhL1799fWVlZWrp0KUMBABDvxDsA25SVlWns2LGKj483Ad/Z2clQAADEO/EOwCYHDhwwS2NcLpcKCgp05swZhgIAIN6JdwA2OX/+vLm5Unh4uObOnatdu3YxFAAA8U68A7BJd3e3fD6fkpOTlZmZqdLSUoYCACDeiXcAtlm1apUmTpyo6Ohoeb1etbW1MRQAAPFOvAOwSVVVlTwej0JCQszLU6dOMRQAAPFOvAOwSUtLi7nCHhERoalTp2rDhg0MBQBAvBPvAGzS09Nj1rKnp6ebH5TOGnfnbQAAEO/EOwCLbN26VTNmzFBkZKTZTaaxsZGhAACId+IdgE1Onjxp9ml31rU7+7YfOXKEoQAAiHfiHYBNOjo6zB1R4+LiNGnSJK1evZqhAACId+IdgG38fr8yMjKUmJhoAr6rq4uhAACId+IdgE327dunBQsWyO12q7CwUPX19QwFAEC8E+8AbFJXV2di3eVyKTc3V3v27GEoAADinXgHYJPOzk4tWrRISUlJGjlypBYvXsxQAADEO/EOwDYrVqzQ+PHjNWDAABUXF5snqAIAQLwT7wAscujQIeXn55utHz0ej2pqahgKAIB4J94B2KS5uVler1fh4eG69957tWPHDoYCACDeiXcANunp6ZHP51NKSorS0tLM687bAAAg3ol3ABbZtGmT7r77bkVFRZmr7m1tbQwFAEC8E+8AbHLixAmznt1Z1+6sb6+srGQoAADinXgHYJPW1lazc0xMTIwmT56sdevWMRQAAPFOvAOwjd/v17Bhw5Sammr2bu/u7mYoAADinXgHYJNt27Zp1qxZCgsLM3dJbWhoYCgAAOKdeAdgk9raWhProaGhysvLU0VFBUMBABDvxDsAmwQCAZWUlKh///4aNWqUli1bxlAAAMQ78Q7ANmVlZRozZowSEhJMwHd2djIUAADxTrwDsMn+/fu1cOFCuVwuFRQU6OzZswwFAADiHYBNzp07p6KiIvNk1Hnz5mn37t0MBQAA4h2ATZxtHn0+n5KTk5WZmanS0lKGAgAA8Q7ANm+//bYmTJig6Ohoeb1etbe3MxQAAIh3ADY5fvy4PB6PQkJCzMtTp04xFAAAiHcANmlubjZX2CMiIjRt2jRt3LiRoQAAQLwT74BNenp6zFr2oUOHmh86zhp3520AAIB4J94Bi2zZskXTp09XZGSk2U2mqamJoQAAQLwT74BNqqurzT7tzrr2vLw8HT16lKEAAEC8E++ATTo6OswdUWNjY5Wdna01a9YwFAAAiHfiHbCN3+9XRkaGEhMTTcB3dXUxFAAAiHfiHbDJ3r17NX/+fLndbhUWFqq+vp6hAABAvBPvgE3q6upMrIeGhio3N1fvvvsuQwEAgHgn3gGbBAIBLVq0SElJScrKytKSJUsYCgAAxDvxDtimrKxM48aNU3x8vIqLi80TVAEAAPFOvAMWOXjwoPLz883Wjx6PRzU1NQwFAADinXgHbOLcVMnr9So8PFxz5szRzp07GQoAAMQ78Q7YpLu7Wz6fT4MGDdKQIUPM6wAAgHgn3gHLlJeXKycnR9HR0eaqe1tbG0MBAIB4J94Bm1RVVZn17M66dmd9e2VlJUMBAIB4J94Bm7S0tJidY2JiYjRlyhStX7+eoQAAQLwT74Bt/H6/0tPTNXjwYLN3u7PWHQAAEO/EO2CRbdu2aebMmQoLCzN3SW1sbGQoAAAQ78Q7YJOzZ8+aWA8NDVVeXp4qKioYCgAAxDvxDtgkEAiopKREcXFxGj16tJYvX85QAAAg3ol3wDbOuvY777xTCQkJJuC7uroYCgAAxDvxDthk//79WrhwodxutwoKCsySGQAAQLwT74BFzp07Z9a1u1wu5ebmavfu3QwFAADinXgHbNLZ2Wm2exw4cKBGjBih0tJShgIAAPFOvAO2WblypSZMmGButOT1etXe3s5QAAAg3ol3wCaHDh1Sfn6+QkJC5PF4dPr0aYYCAADxTrwDNmlubjZX2CMiIpSTk6Py8nKGAgAA8U68Azbp6emRz+dTSkqK0tLSzOvO2wAAAPFOvAMW2bx5s+655x5FRUWpqKhITU1NDAUAAOKdeAdsUl1dbdazO+vanfXtx44dYygAABDvxDtgk9bWVhUXFys2NlbZ2dlau3YtQwEAgHgn3gHb+P1+DR8+XKmpqWbv9q6uLoYCAADxTrwDNtm+fbtmz54tt9tt7pLa0NDAUAAAAPEO2KS2ttbEemhoqPLy8nT48GGGAgAAiHfAJoFAQCUlJerfv7+ysrK0dOlShgIAAIh3wDZlZWUaO3as4uPjTcB3dnYyFAAAQLwDNjlw4IBZGuNyuVRQUKAzZ84wFAAAQLwDNjl//ry5uVJ4eLjmzp2rXbt2MRQAAEC881cLm3R3d8vn8yk5OVmZmZkqLS1lKAAAgHgn3mGbVatWaeLEiYqOjpbX61VbWxtDAQAAxDvxDptUVVXJ4/EoJCTEvDx16hRDAQAAxDvxDpu0tLSYK+wRERGaOnWqNmzYwFAAAADxTrzDJj09PWYte3p6uvnGcta4O28DAAAg3ol3WGTr1q2aMWOGIiMjzW4yjY2NDAUAABDvxDtscvLkSbNPu7Ou3dm3/ciRIwwFAAAQ78Q7bNLR0WHuiBoXF6dJkyZp9erVDAUAABDvxDts4/f7lZGRocTERBPwXV1dDAUAABDvxDtssm/fPi1YsEBut1uFhYWqr69nKAAAgHgn3mGTuro6E+sul0u5ubnas2cPQwEAAMQ78Q6bdHZ2atGiRUpKStLIkSO1ePFihgIAAIh34h22WbFihcaPH68BAwaouLjYPEEVAACAeCfeYZFDhw4pPz/fbP3o8XhUU1PDUAAAAPFOvMMmzc3N8nq9Cg8P17333qsdO3YwFAAAQLwT77BJT0+PfD6fUlJSNGTIEPO68zYAAADinXiHRTZt2qS7775bUVFR5qp7W1sbQwEAAMQ78Q6bnDhxwqxnd9a1O+vbKysrGQoAACDeiXfYpLW11ewcExMTo8mTJ2vdunUMBQAAEO/EO2zj9/s1bNgwpaammr3bu7u7GQoAACDeiXfYZNu2bZo1a5bCwsLMXVIbGhoYCgAAIN6Jd9iktrbWxHpoaKjy8vJUUVHBUAAAAPFOvMMmgUBAJSUl6t+/v0aNGqVly5YxFAAAQLwT77BNWVmZxowZo4SEBBPwnZ2dDAUAABDvxDtssn//fi1cuFAul0sFBQU6e/YsQwEAAMQ78Q6bnDt3TkVFRebJqPPmzdPu3bsZCgAAIN6Jd9jE2ebR5/MpOTlZmZmZKi0tZSgAAIB4J95hm7ffflsTJkxQdHS0vF6v2tvbGQoAACDeiXfY5Pjx4/J4PAoJCTEvT506xVAAAADxTrzDJs3NzeYKe0REhKZNm6aNGzcyFAAAQLwT77BJT0+PWcs+dOhQ8y+ps8bdeRsAAADxTrzDIlu2bNH06dMVGRlpdpNpampiKAAAAMQ7bFJdXW32aXfWtefl5eno0aMMBQAAgHiHTTo6OswdUWNjY5Wdna01a9YwFAAAAOIdtvH7/crIyFBiYqIJ+K6uLoYCAABAvMMme/fu1fz58+V2u1VYWKj6+nqGAgAAQLzDJnV1dSbWQ0NDlZubq3fffZehAAAAEO+wSSAQ0KJFi5SUlKSsrCwtWbKEoQAAABDvxLttysrKNG7cOMXHx6u4uNg8QRUAAADEO/FukYMHDyo/P99s/ejxeFRTU8NQAAAAiHfi3SbOTZW8Xq/Cw8M1Z84c7dy5k6EAAAAQ78S7Tbq7u+Xz+TRo0CANGTLEvA4AAADinXi3THl5uXJychQdHW2uure1tTEUAAAA4p14t0lVVZVZz+6sa3fWt1dWVjIUAAAA4p14t0lLS4vZOSYmJkZTpkzR+vXrGQoAAADxTrzbxu/3Kz09XYMHDzZ7tztr3QEAAEC8E+8W2bZtm2bOnKmwsDBzl9TGxkaGAgAAQLwT7zY5e/asifXQ0FDl5eXpyJEjDAUAAIB4J95tEggEVFJSori4OI0ePVrLly9nKAAAAMQ78W4bZ137nXfeqYSEBBPwXV1dDAUAAIB4J95tsn//ft13331yu90qKCgwS2YAAABAvBPvFjl37pxZ1+5yuZSbm6vdu3czFAAAAOKdeLdJZ2en2e5x4MCBGjFihEpLSxkKAAAA8U682+b//b/1io7e+t6RJq/Xq/b2doYCAADQC1JSpKlTpdzc3j3Cw9fo6adXEO+3k0OHDik/P18hIRGKja3RE080MxQAAIBeFB4uffGLUlFR7x6xsT/RP/zDEuL9dtDc3GyusEdERCgnJ0fl5eV67TW998/S8ePMBwAAoLfExUm/+13vPy7LZm4DPT098vl8SklJUVpamnndeZuju1u66y7pySeZEwAAAPFOvN9Umzdv1j333KOoqCgVFRWpqanpkvd5/XW99+dSbS3zAgAAIN6J9z534sQJeTwehYSEmPXtx44d+9D37eyUhg2Tvv99vtEAAACId+K9z7S2tqq4uFixsbHKzs7W2rVrr+q8H/7w/YB3ltEAAACAeCfebzC/36/hw4crNTXV7N3e1dV11eeePi25XNLbb/PNBgAAQLwT7zfM9u3bNXv2bLndbnOX1IaGhut6nPvvl/78z/lmAwAAIN6J915XW1trYj00NFR5eXk6fPjwx3o8n09KSHh/DTwAAACId+K9FwQCAZWUlKh///7KysrS0qVLe+Vx6+reXzrzhz/wDQcAAEC8E+8fW1lZmcaOHav4+HgT8J29fJl81qz3794FAAAA4p14v04HDhwwS2NcLpcKCgp05syZG/Jxnn1Wmj6dbzgAAADinXi/ZufPnzc3VwoPD9fcuXO1a9euG/rxli/Xex9Lamvjmw4AAIB4J96vSnd3t3w+n5KTk5WZmanS0tI++bj19VK/flJ5Od90AAAAxDvxfkWrVq3SxIkTFR0dLa/Xq7Y+vgyelib96ld80wEAABDvFsf7a6+9pjvuuCPoePrpp/vsk66qqpLH41FISIh5eerUqZsyvM98Rvr2t/mmAwAAIN4tjvdPf/rTl8S7M6BruVPp9WhpaTFX2CMiIjR16lRt2LDhpg7vySel//N/+KYDAAAg3i2Nd+eqt3Ozoz+Od+dYtmzZDfkke3p6zFr29PR08xfhrHF33naz/eAHUk4O33QAAADEu6Xx/vzzzwcFu7N05YPX8/Pze/0T3Lp1q2bMmKHIyEizm0xjY6M1w/u//1caOpRvOgAAAOLdwnh3rnbfeeedF2J95MiR+vznP3/hn8PCwnT27Nle+cROnjxp9ml3/ufA2bf9yJEj1g3P+RfN+RcOAAAAxLt18b5y5cqgq+4/+MEP9Nvf/jbobT/60Y8+1ifU0dFh7oga997f5KRJk7R69Wprh/fWW5LbzTcdAAAA8W5hvD/00ENBy2WOHz9uYjspKenC253gvv4YfkvDhw83j+Ns//jFL37RLMWx9Zgz59n3PlfpS1960OrPk4ODg4ODg4PD1sPtbtWMGS/2+uM6S65v63hvaGhQVFTUhUifN2/ehT974okngq6+v/POO9f1yTh3RX3sscfM2vZPwvH44y/o7rv/oG9/+6lPzOfMwcHBwcHBwWHTMWPGivf67596/XH/9m//1lxovm3j/Wc/+1lQoDs7vnxg8+bNQX9WWFjI74AAAACAmxXvOTk5F+LcWdLS1NQU9Ofjxo278OeJiYlqb29nugAAAEBfx/v+/fuDrqw//PDDl7zPCy+8EPQ+zr7sAAAAAPo43r/1rW8FhfmKFSsueZ8TJ04E3bzpvvvuY7oAAABAX8Z7Z2enUlJSLkS5s+1OV1fXZd/305/+9CW70QAAAADoo3h/8803g666P/300x/6vs52PH+8DzwAAACAPor3i++g6hz79u370PdtbW1V//79L7zviBEjzF1ZAQAAANzgeD99+rTcbveFGJ82bdoVH/DRRx8Niv21a9cyZQAAAOBGx/sPf/jDoBB/5ZVXrviAf/jDH4LO+drXvsaUAQAAgBsd72PGjLkQ4WFhYTp79uwVH9BZJpORkRG0J3xjYyOTBgAAAG5UvG/cuDHoCvrAgQNVUFBwVUdWVlbQub/61a+YNAAAAHCj4t2J8IsD/OMcs2bNYtIAAAC4bXV3d2vHjh36/e9/L5/Pp3/6p3/ST3/6U/3Hf/yHuWje1tZ2/fHu7BozYMCAXov3K+1SAwAAANxqnHsjlZaW6sEHH1RSUtJHtrKzRH3GjBnmOabnzp27tnj/9a9/HfRg48ePV35+/jUdf/Inf3LV+8MDAAAAt5KlS5eabdOv56J3RESEioqKLvu80cvG+5w5cz72do8NDQ2KjIy8qjuzAgAAALcCZ3nMN7/5TfXr1+9DwzwtLU0TJ07U2LFjzfNKPyzi09PTrxzvR48eVUhIyIWThg4det03WvrSl74U9AksW7aMv1EAAADckpxmfvjhhy8b7N/4xje0YsUKtbe3X3Le+fPnzdr3r3zlK0H3WIqKirpyvD/33HNBH+ypp5667i/gjTfeCHqsL3/5y/ytAgAA4Jb0xx3tHPfff7+OHz9+1Y9x+PBhPfTQQ+bK/RXj3bnM71yev/gD7t69+7q/gI6ODiUmJl7zXvEAAADAJ8mGDRsUGhoa1NGPPPKIOjs7r+vxfvOb32jQoEEfHe9vvfVW0Ad01uJ8XH/xF38R9Jg/+tGP+NsFAADALWXu3LlBzTtt2rTrDvcPHDp06KPj3Vlnc/EHffHFFz/2F7Jq1aqgx5w0aRJ/uwCAXnPw4EGzK8MHh7OPMgD0pS1btgT1rnMF/kZtk34h3uvr64N2h3HW2ThPXv24nKU4Q4YMCfqC3nnnHf6WAQC94o9/a/z6668zFAB9ylkec/HPoc9+9rM37GNdiHfnxkwVFRUXjmPHjvXaBzl16lTQYzvbSAIAQLwDuBU4uzNe/HPod7/73Y2PdwAAiHcAuDZHjhwJ+hnkrF6pq6sj3gEAIN4B2Ka0tDToZ1BmZuYN/XjEOwCAeAeA6/TKK68E/Qz6zGc+Q7wDAEC8A7DR3/3d3wX9DMrPzyfeAQAg3gHY6Fvf+lbQz6Cvfe1rxDsAANcb786OZ6+99ppeeuklffe73zU3C3TuQdLV1cXwAHxszz33XNDPoK9+9avEOwAA1xrvzr1KPve5z8nlcgX9+QdHamqqfv7zn6unp4chArhuL7/8ctDPlvvvv594BwDgWuJ9xYoVio+Pv2y0//HhBH5HRweDBHBdfD5f0M+UKVOmEO8AAFxtvL/44otKSEi48M/jx49XYWGheVLZE088oZEjR14S8M4TzLgCD+B6lJeXB/08CQ8PV3t7O/EOAMDVxHtkZKR5mZiY+KF3Ofy3f/s3RUdHB53nvA0ArlVnZ6diYmKCfp5s2bKFeAcA4Gri3TkiIiLM1bCP8vvf/14hISEXzklKSlJraysDBXDNnL3dL/4Z9M1vfpN4BwDgauP96aefvqpzH3nkkaDznLWrAHCtXn311aCfJc7SvZaWFuIdAIArxbuzu8yZM2eu6ty9e/cGnbtgwQIGCuCaBQIBDRkyJOjnyV//9V9/7Me93Ja2xDsA4JaK9zlz5lzT+WPGjLlwrrNDDU9cBXA9fvzjHwf9LHKW5S1evPi6H6+mpkYLFy4k3gEAt3a8O3c7vBYejyfo/IqKCoYK4Jo5V8lnzpwZ9PPE7XZf13I8v9+vtLQ0RUVFEe8AgFs73l955ZVrOv/ZZ58NOv9KT3QFgA/j3NE5PT39kufh5Obmav369R/5mz3nCfNOtE+fPv3CecQ7AOCWj/drvcr10ksvBZ2/fPlyhgrguh07dkxZWVmXvSlccnKyHnjgAbMbzQ9+8ANz/4knn3zSPN/GCfU/fn/iHQBwy8f7te7X/sMf/jDo/LKyMoYK4GNpaGjQww8/rH79+l3VnZ4vdzg3mHPuFk28AwBu6Xj/0Y9+dE3nP/PMM0Hnb968maEC6BXOMrwvfvGLF24ed6XDif25c+fqtddeu+xOM8Q7AOCWi/e//Mu/vKbzH3zwwaDzKysrGSqAXuWsZ3d+Vj311FPmSfL33Xefpk6dqtmzZ+sLX/iCCgsLTbBXVVVd8bGIdwDALRXvM2bMuKbzMzMzg9ajAoDNiHcAwC0V787eyldz9cqxbdu2oHM///nPM1AAxDsAAH0V787xjW9846rO/dM//dOg8/77v/+bgQIg3gEA6Mt4d7lc+p//+Z+PPO/Xv/510DlDhw41tzgHAOIdAIA+ivcBAwaYl9HR0frZz352yY4NHR0dKi4uNnc+vPg85+YoAEC8AwDQh/HubBX5qU996sI/p6SkKD8/XwUFBWaZTEJCwiVX6p944gkGCYB4BwCgr+P99ddf19atWzVkyJCr2lf58ccfV3d3N4MEQLwDAHCjrV27VhkZGReOxYsXm7efOXNGjz32mOLi4i4b7dnZ2VqyZAkDBEC8AwBgi5aWFq1evdo8QfUnP/mJ2VHmwIEDDAYA8Q4AAACAeAcAAACId0YAAAAAfDL8f6MxsWfvwpz5AAAAAElFTkSuQmCC"}]}

Solve

Solution Stats

3426 Solutions
2480 Solvers

Last Solution submitted on Oct 26, 2020

Last 200 Solutions

Problem Comments

2 Comments

2 Comments

Jean-Marie Sainthillier on 9 Dec 2013

Tanya, you like triangles.

Phan Hoang Tao on 17 Sep 2019

Good one

Solution Comments

Solution 2590069

1 Comment

1 Comment

Piero Cimule on 20 Jun 2020

a = sqrt(c^2-b^2);

Solution 2308688

1 Comment

1 Comment

EMRE DÜZ on 20 May 2020

good question

Solution 1357216

1 Comment

1 Comment

Raymond Watt on 25 Nov 2017

Solution 1197591

1 Comment

1 Comment

Augusto Mazzei on 25 May 2017

test_1 a=sqrt(3) is longer than b=1
the good solution would be
a= min(sqrt(c^2 -b^2),b)
instead

Solution 395842

1 Comment

1 Comment

Jon on 3 Feb 2014

regexp cheat

Solution 361632

1 Comment

1 Comment

Tanya Morton on 29 Nov 2013

Kudos for finding this solution - it did indeed meet all the test cases, but wasn't quite what I had in mind! I will add a new test.

Problem Recent Solvers2480

Problem Tags

basic matlab pythagoras

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 1974. Length of a short side

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers2480

Suggested Problems

More from this Author10

Problem Tags

Community Treasure Hunt

Problem 1974. Length of a short side

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers2480

Suggested Problems

More from this Author10

Problem Tags

Community Treasure Hunt

Players