SAT Math Practice Question #12548 - SATify | SATify

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SAT Math Practice Question #12548 - SATify | SATify

#12548

similarity

geometry

right triangles

hard

120 sec

In triangle $PQR$ , angle $Q$ is $9 0^{\circ}$ and $QS$ is an altitude. If $PQ = 12$ and $PR$ is $20$ greater than $PQ$ , what is the value of $\frac{QR}{QS}$ ?

A.

$\frac{20}{32}$

B.

$\frac{12}{32}$

C.

$\frac{32}{12}$

D.

$\frac{8}{3}$