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Construct the right-angled triangle!

Source: Problem 3, Brazil MO 1993

March 18, 2006
geometrycircumcirclecongruent trianglesgeometry proposed

Problem Statement

Given a circle and its center OO, a point AA inside the circle and a distance hh, construct a triangle BACBAC with ∠BAC=90∘\angle BAC = 90^\circ, BB and CC on the circle and the altitude from AA length hh.
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