964 B
964 B
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f3f61000cf542c50ff09 | Problem 138: Special isosceles triangles | 5 | 301766 | problem-138-special-isosceles-triangles |
--description--
Consider the isosceles triangle with base length, b = 16, and legs, L = 17.
By using the Pythagorean theorem it can be seen that the height of the triangle, h = √(172 − 82) = 15, which is one less than the base length. With b = 272 and L = 305, we get h = 273, which is one more than the base length, and this is the second smallest isosceles triangle with the property that h = b ± 1. Find ∑ L for the twelve smallest isosceles triangles for which h = b ± 1 and b, L are positive integers.
--hints--
euler138()
should return 1118049290473932.
assert.strictEqual(euler138(), 1118049290473932);
--seed--
--seed-contents--
function euler138() {
return true;
}
euler138();
--solutions--
// solution required