1.8 KiB
1.8 KiB
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f3c71000cf542c50feda | Problem 91: Right triangles with integer coordinates | 5 | 302208 | 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.
assert(typeof rightTrianglesIntCoords() === 'number');
rightTrianglesIntCoords()
should return 14234.
assert.strictEqual(rightTrianglesIntCoords(), 14234);
--seed--
--seed-contents--
function rightTrianglesIntCoords() {
return true;
}
rightTrianglesIntCoords();
--solutions--
// solution required