MathDB
Right triangle geo

Source: 2013 BAMO-8 #2

February 27, 2016
geometry

Problem Statement

Let triangle △ABC\triangle{ABC} have a right angle at CC, and let MM be the midpoint of the hypotenuse ABAB. Choose a point DD on line BCBC so that angle ∠CDM\angle{CDM} measures 3030 degrees. Prove that the segments ACAC and MDMD have equal lengths.
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