ASU 192 All Soviet Union MO 1974 min side of trapezoid, tangent circles
Source:
July 4, 2019
geometrytrapezoidtangent circlesminimum
Problem Statement
Given two circles with the radiuses and , touching each other from the outer side. Consider all the trapezoids, such that its lateral sides touch both circles, and its bases touch different circles. Find the shortest possible lateral side.