Question 22In the right triangle $ABC,$ $AC=12,$ $BC=5,$ and angle $C$ is a right angle. A semicircle is inscribed in the triangle as shown. What is the radius of the semicircle? $ \dfrac{7}{6} $$ \dfrac{13}{5} $$ \dfrac{59}{18} $$ \dfrac{10}{3} $$ \dfrac{60}{13} $
