comp. with trapezoid
Source: II Soros Olympiad 1995-96 R1 11.6 https://artofproblemsolving.com/community/c2416727_soros_olympiad_in_mathematics
June 3, 2024
geometrytrapezoid
Problem Statement
The bases of the trapezoid are equal to and . It is known that through the midpoint of one of its sides it is possible to draw a straight line dividing the trapezoid into two quadrangles, into each of which a circle can be inscribed. Find the length of the other side of this trapezoid.