mathschallenge.net logo

Three Circles

Problem

Three touching circles have a common tangent.


If the radii of the circles in decreasing order of size are p, q, and r, prove that the following relationship holds:

1
radicalp
 + 
1
radicalq
 = 
1
radicalr
Problem ID: 175 (May 2004)     Difficulty: 3 Star

Show Problem & Solution