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Brocard point in Spanish Olympiad

Source: Spanish Mathematical Olympiad 1992 P5

August 1, 2018
geometryBrocardequal angles

Problem Statement

Given a triangle ABCABC, show how to construct the point PP such that ∠PAB=∠PBC=∠PCA\angle PAB= \angle PBC= \angle PCA. Express this angle in terms of ∠A,∠B,∠C\angle A,\angle B,\angle C using trigonometric functions.
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