883 B
883 B
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f4311000cf542c50ff43 | Problem 195: Inscribed circles of triangles with one angle of 60 degrees | 5 | 301833 | problem-195-inscribed-circles-of-triangles-with-one-angle-of-60-degrees |
--description--
Let's call an integer sided triangle with exactly one angle of 60 degrees a 60-degree triangle.
Let r be the radius of the inscribed circle of such a 60-degree triangle.
There are 1234 60-degree triangles for which r ≤ 100.
Let T(n) be the number of 60-degree triangles for which r ≤ n, so
T(100) = 1234, T(1000) = 22767, and T(10000) = 359912.
Find T(1053779).
--hints--
euler195()
should return 75085391.
assert.strictEqual(euler195(), 75085391);
--seed--
--seed-contents--
function euler195() {
return true;
}
euler195();
--solutions--
// solution required