MathDB
2015 Team #13

Source:

August 3, 2022
2015team test

Problem Statement

The incircle of triangle ABC\triangle ABC is the unique inscribed circle that is internally tangent to the sides AB\overline{AB}, BC\overline{BC}, and CA\overline{CA}. How many non-congruent right triangles with integer side lengths have incircles of radius 20152015?