# Inscribed circle.

Level pending

In a right triangle $$ABC$$ , right angled at $$C$$, $$AB=c$$,$$AC=\dfrac{3}{5}c$$.A circle with center $$O$$ is inscribed in the triangle .Let $$OC$$ intersect the circle at point $$D$$.$$CD$$ can be expressed in function of $$c$$,$$CD=f(c)$$.If $$f(c)=\dfrac{c}{5}*(\sqrt{x}-1)$$.Find $$x$$.

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