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!