Problem 1103. Right Triangle Side Lengths (Inspired by Project Euler Problem 39)

Created by @bmtran (Bryant Tran)

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If p is the perimeter of a right angle triangle with integral length sides, { a, b, c }, there are exactly three solutions for p = 120.

{[20,48,52], [24,45,51], [30,40,50]}

Given any value of p, return a cell array whose elements are the sorted side lengths of a possible right triangle whose perimeter is p. Furthermore, the elements of the output should be sorted by their shortest side length.

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Last Solution submitted on Jul 12, 2020

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Solution 2593735

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Piero Cimule on 22 Jun 2020 at 1:31

c=[];
for A=1:p
B=0;
while B < 1000
B = B+1;
C = sqrt((A^2) + (B^2));
perimeter = A+B+C;
if perimeter==p
c(end+1,:) = [A,B,C];
end
end
end
c=unique(sort(c,2),'rows');
x=cell(1,size(c,1));
for i=1:size(c,1)
[x{1,i}]= deal(c(i,:))
end
c=x

Solution 2055983

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1 Comment

Miles Walker on 12 Dec 2019

Works, but is horribly inefficient especially for higher p...

Solution 174395

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Aurelien Queffurust on 18 Dec 2012

solution using a Neural Network Toolbox function ;)

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plus15 projecteuler

Problem 1103. Right Triangle Side Lengths (Inspired by Project Euler Problem 39)

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Problem 1103. Right Triangle Side Lengths (Inspired by Project Euler Problem 39)

Solution Stats

Last 200 Solutions

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Problem Recent Solvers268

Suggested Problems

More from this Author56

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