Copyright © University of Cambridge. All rights reserved.

## 'Pythagorean Triples' printed from http://nrich.maths.org/

The smallest right-angled triangle where the lengths of all the
sides are integers, has sides of length $3$, $4$ and $5$ units.
This triangle has an area of $6$ square units and a perimeter of
$12$ units:

- How many right-angled triangles are there with sides that are
all integers less than $100$ units?
- In how many of these triangles is the area one half of the
perimeter?