---
id: 5900f3c71000cf542c50feda
title: 'Problem 91: Right triangles with integer coordinates'
challengeType: 5
forumTopicId: 302208
dashedName: problem-91-right-triangles-with-integer-coordinates
---
# --description--
The points P (`x`1, `y`1) and Q (`x`2, `y`2) are plotted at integer co-ordinates and are joined to the origin, O(0,0), to form ΔOPQ.
There are exactly fourteen triangles containing a right angle that can be formed when each co-ordinate lies between 0 and 2 inclusive; that is, 0 ≤ `x`1, `y`1, `x`2, `y`2 ≤ 2.
Given that 0 ≤ `x`1, `y`1, `x`2, `y`2 ≤ 50, how many right triangles can be formed?
# --hints--
`rightTrianglesIntCoords()` should return a number.
```js
assert(typeof rightTrianglesIntCoords() === 'number');
```
`rightTrianglesIntCoords()` should return 14234.
```js
assert.strictEqual(rightTrianglesIntCoords(), 14234);
```
# --seed--
## --seed-contents--
```js
function rightTrianglesIntCoords() {
return true;
}
rightTrianglesIntCoords();
```
# --solutions--
```js
// solution required
```