MathDB
St.Peterburg, P6 Grade 11, 2013

Source:

April 17, 2014
geometric transformationgeometrycircumcirclegeometry proposed

Problem Statement

Let (Ib)(I_b), (Ic)(I_c) are excircles of a triangle ABCABC. Given a circle ω \omega passes through AA and externally tangents to the circles (Ib)(I_b) and (Ic)(I_c) such that it intersects with BCBC at points MM, NN. Prove that ∠BAM=∠CAN \angle BAM=\angle CAN .
A. Smirnov
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