equal tangents from intersection of diagonals of trapezoid
Source: TOT 458 1995 Spring S A3 - Tournament of Towns
July 9, 2024
geometrytrapezoidequal segments
Problem Statement
The non-parallel sides of a trapezium serve as the diameters of two circles. Prove that all four tangents to the circles drawn from the point of intersection of the diagonals are equal (if this point lies outside the circles).(S Markelov)