# Reflection of C is on AB

Geometry Level 2

A right angle triangle $$ABC$$ is such that $$AC=24$$cm, $$CB=10$$cm and $$\angle ACB=90^{\circ}$$. A point $$D$$ on $$CB$$ is such that when point $$C$$ is reflected upon line $$AD$$, the reflected point will be on line $$AB$$. The length of $$CD=\frac{a}{b}$$ where $$a$$ and $$b$$ are coprime integers. Find the value of $$a+b$$.

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