Harder Mathematical Problems

Angled Triangle ★★

We are looking for the smallest (right-angled) triangle for which the following holds:

  • the lengths of the sides are integers;
  • the perimeter is the square of an integer;
  • the area is the cube of an integer.

To help you get started: the length of the hypotenuse is 240.

The question: What are the dimensions of this triangle?

The answer: Click here!