Isosceles trapezoid with perpendicular diagonals
Source: Oral Moscow Geometry Olympiad 2024, 8-9.1
September 3, 2024
geometrytrapezoid
Problem Statement
In an isosceles trapezoid, the diagonals are perpendicular. Find the distance from the center of the circle described around the trapezoid to the point of intersection of its diagonals, if the lengths of the bases are equal to and .