The Symmedian of a symmedian
ABC is a a right triangle at C. CD is the altitude to hypotenuse AB. Let M be a point on CD such that M is the Symmedian Point of triangle ABC. The ratio of the length of CM to that of CD can be express in the form a:b where a and b are coprime positive integers. Find a^2 + b^2
The answer is 3.
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