# Tangent Triangle

- Author:
- John Golden

- Topic:
- Circle

Ed Southall (@solvemymaths) tweeted this nicely elegant geometry problem. Given a right triangle tangent to a circle, which is also tangent to the extended legs of the triangle, what is the radius of the circle?
It really tickled me that the two legs and the radius make a solvable triple. If you know any two, the third is determined!