Tangent Triangle

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!

 

John Golden

 
Resource Type
Activity
Tags
circle  problem  right  triangle 
Target Group (Age)
3 – 19+
Language
English
 
 
 
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