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(3 \sqrt 3 - 4), A ratio of

Source: RMO 2002 - Grade IX - Problem 2

February 15, 2007
ratiogeometrygeometric transformationreflectioncircumcircleinradiustrigonometry

Problem Statement

Let ABCABC be a right triangle where ∡A=90∘\measuredangle A = 90^\circ and M∈(AB)M\in (AB) such that AMMB=33−4\frac{AM}{MB}=3\sqrt{3}-4. It is known that the symmetric point of MMwith respect to the line GIGI lies on ACAC. Find the measure of ∡B\measuredangle B.
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