MMO 370 Moscow MO 1957 3 equal circles, tangent in pairns
Source:
March 20, 2021
geometryequal circlestangent circles
Problem Statement
* Three equal circles are tangent to each other externally and to the fourth circle internally. Tangent lines are drawn to the circles from an arbitrary point on the fourth circle. Prove that the sum of the lengths of two tangent lines equals the length of the third tangent.