SAT Math Practice Question #25083 - SATify | SATify

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SAT Math Practice Question #25083 - SATify | SATify

#25083

geometry

circles

Relative Motion

hard

180 sec

In the right triangle $A BC$ , $A C = 12$ , $BC = 5$ , and angle $C$ is a right angle. A semicircle is inscribed in the triangle as shown, with its diameter on $BC$ . What is the radius of the semicircle?

A.

$2$

B.

$\frac{12}{5}$

C.

$\frac{5}{2}$

D.

$3$

E.

$\frac{13}{5}$