Problem #PRU-56593

Problems Geometry Plane geometry Circles Inscribed angle Angles supported by congruent arcs and chords

Problem

On the circle, the points \(A, B, C\) and \(D\) are given. The lines \(AB\) and \(CD\) intersect at the point \(M\). Prove that \(AC \times AD / AM = BC \times BD / BM\).