--- id: 5900f3c71000cf542c50feda challengeType: 5 isHidden: false title: 'Problem 91: Right triangles with integer coordinates' forumTopicId: 302208 --- ## Description
The points P (x1, y1) and Q (x2, y2) are plotted at integer co-ordinates and are joined to the origin, O(0,0), to form ΔOPQ. a graph plotting points P (x_1, y_1) and Q(x_2, y_2) at integer coordinates that are joined to the origin O (0, 0) 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 ≤ x1, y1, x2, y2 ≤ 2. a diagram showing the 14 triangles containing a right angle that can be formed when each coordinate is between 0 and 2 Given that 0 ≤ x1, y1, x2, y2 ≤ 50, how many right triangles can be formed?
## Instructions
## Tests
```yml tests: - text: rightTrianglesIntCoords() should return a number. testString: assert(typeof rightTrianglesIntCoords() === 'number'); - text: rightTrianglesIntCoords() should return 14234. testString: assert.strictEqual(rightTrianglesIntCoords(), 14234); ```
## Challenge Seed
```js function rightTrianglesIntCoords() { // Good luck! return true; } rightTrianglesIntCoords(); ```
## Solution
```js // solution required ```