Online Geometry Problems

Online Geometry Problem 787: Right Triangle, Inradius, 18 Equal Circles, Line Tangent, Legs, Hypotenuse, Ratio, Metric Relations. Level: High School, SAT Prep, College, Mathematics Education

The figure below shows a right triangle ABC with inradius x and 18 equal tangent circles of radius r, so that leg AB is tangent to 6 circles, BC is tangent to 13 circles and AC is tangent to 2 circles. Prove that x = 5.r
 

Right triangle
 


 

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