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