MathDB
Chisinau MO p42 1949-56 VIII-IXtrapezoid, isosceles triangle inscribed

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March 15, 2021
geometryinscribedequal areastrapezoidisosceles

Problem Statement

A trapezoid and an isosceles triangle are inscribed in a circle. The larger base of the trapezoid is the diameter of the circle, and the sides of the triangle are parallel to the sides of the trapezoid. Show that the trapezoid and the triangle have equal areas.