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computational geo with trapezoid (V Soros Olympiad 1998-99 Round 3 9.5)

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May 25, 2024
geometrytrapezoid

Problem Statement

In the trapezoid ABCDABCD with bases BC=aBC = a, AD=bAD = b, the equality holds: ∠BAC+∠ACD=180o\angle BAC + \angle ACD = 180^o. The straight line ACAC intersects the common tangents to the circumcircles of the triangles ABCABC and ACDACD at the points Find PQPQ.
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