data/problems/373.yml
---
:id: 373
:name: Circumscribed Circles
:url: https://projecteuler.net/problem=373
:content: |+
Every triangle has a circumscribed circle that goes through the three vertices. Consider all integer sided triangles for which the radius of the circumscribed circle is integral as well.
Let S(<var>n</var>) be the sum of the radii of the circumscribed circles of all such triangles for which the radius does not exceed <var>n</var>.
S(100)=4950 and S(1200)=1653605.
Find S(10<sup>7</sup>).