data/problems/195.yml
---
:id: 195
:name: Inscribed circles of triangles with one angle of 60 degrees
:url: https://projecteuler.net/problem=195
:content: "Let's call an integer sided triangle with exactly one angle of 60 degrees
a 60-degree triangle. \nLet <var>r</var> be the radius of the inscribed circle
of such a 60-degree triangle.\n\nThere are 1234 60-degree triangles for which <var>r</var>
≤ 100. \nLet T(<var>n</var>) be the number of 60-degree triangles for which <var>r</var>
≤ <var>n</var>, so \n T(100) = 1234, T(1000) = 22767, and T(10000)
= 359912.\n\nFind T(1053779).\n\n"