MathDB
Cyclic quadrilateral

Source: APMO 1990

March 11, 2006
trigonometrygeometrysimilar trianglescyclic quadrilateralperpendicular bisectorgeometry unsolved

Problem Statement

Given triangle ABCABC, let DD, EE, FF be the midpoints of BCBC, ACAC, ABAB respectively and let GG be the centroid of the triangle. For each value of ∠BAC\angle BAC, how many non-similar triangles are there in which AEGFAEGF is a cyclic quadrilateral?
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