# Radius of a circle that intersects two points on a right triangle.

by dgoldman86
Tags: circle, intersects, points, radius, triangle
 P: 3 How about this Call the vertex of your right triangle $(c_1,r,c2)$ with $c_1$ tangent to the circle and $r$ the vertex at the right angle. Let $o$ be the center of your circle. Now construct the square $(o,c_1,r,s)$. Observe that $c_2$ is on the square side $(r,q)$ and use pythagoras.