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Among all triangles with integer side lenghts and perimeter 20 units, what is the area of the trianlge with the largest area?

 Nov 14, 2019
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The largest area would be of an equilateral triangle. But, since 20 cannot be divided into 3 equal integers, then the closest would be a triangle with sides =7, 7, 6, which would have an area =18.974 compared to an equilateral triangle with sides=20/3 =6 2/3, which would have an area =19.247.

 Nov 14, 2019

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