A certain right triangle with integer side lengths has perimeter 160. What is its area?
Note that the Primitive Pythagorean Triple 8 + 15 + 17 = 40
So
4 ( 8 + 15 + 17) = 160
So....the legs of our triangle = 4*8 and 4 *15 = 32 and 60
So the area = 32 * 60 / 2 = 960