equilaterals on laterals of trapezoid (II Soros Olympiad 1997-98 R3 10.5)
Source:
June 6, 2024
geometrytrapezoid
Problem Statement
Each of the lateral sides of the trapezoid, whose bases are equal to and , serves as a side of a regular triangle. One triangle is located entirely outside the trapezoid, and the other has common points with it. Find the distance between the centers of these triangles.