SAT Math Practice Question #36224 - SATify | SATify

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SAT Math Practice Question #36224 - SATify | SATify

#36224

right triangles

similarity

geometry

hard

90 sec

In right triangle $RST$ , angle $S$ is $9 0^{\circ}$ . An altitude $\overline{S U}$ is drawn from $S$ to the hypotenuse $\overline{RT}$ . If $R U = x$ and $U T = y$ , which of the following expressions represents the length of $\overline{RS}$ ?

A.

$x y$

B.

$x^{2} + y^{2}$

C.

$x (x + y)$

D.

$y (x + y)$