A certain right triangle with integer side lengths has perimeter 150. What is its area?

Every right triangle with integer side lengths has the form k(m^2 - n^2), 2kmn, k(m^2 + n^2). Using this form, we can determine that the area of the right triangle is 720.

A right triangle with sides of 25, 60, and 65 units has an area of 750 square units.