SAT Math Practice Question #25082 - SATify | SATify

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SAT Math Practice Question #25082 - SATify | SATify

#25082

geometry

circles

Relative Motion

hard

180 sec

In the right triangle $A BC$ , $A C = 8$ , $BC = 6$ , and angle $C$ is a right angle. A semicircle is inscribed in the triangle as shown, with its diameter on $A C$ . What is the radius of the semicircle?

A.

$\frac{5}{2}$

B.

$3$

C.

$\frac{7}{2}$

D.

$4$

E.

$\frac{9}{2}$