Problem 45379. 3rd side of a Triangle

Created by Asif Newaz

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Given two sides of a triangle, find the minimum and maximum possible area of the triangle.

the length of the third side has to be of integer-valued.

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Last Solution submitted on Feb 25, 2023

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William on 24 Mar 2020

Asif,
The results in the test suite seem to be based on the idea that the minimum and maximum areas are found by setting the third side to a3 = abs(a1-a2)+1 and a3=a1+a2-1, which is not correct. The correct maximum is somewhere in the middle. For example, in problem 2, the correct results are mn = 24.9987 and mx = 1250.0000.

Asif Newaz on 24 Mar 2020

yes.. i see that now.. my assumption was wrong.
Sorry for the misconception.
yet again we learn from our mistakes

Rafael S.T. Vieira on 6 Aug 2020

Humm, I am certain that the minimum area of any triangle is zero, which corresponds to the degenerate case when one side is equal to the sum of the other two.

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Problem 45379. 3rd side of a Triangle

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Problem 45379. 3rd side of a Triangle

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Last 200 Solutions

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Problem Recent Solvers18

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