SAT Math Practice Question #25920 - SATify | SATify

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SAT Math Practice Question #25920 - SATify | SATify

#25920

geometry

Relative Motion

hard

150 sec

Square $A BC D$ has side length $4$ . A semicircle with diameter $A B$ is constructed inside the square, and the tangent to the semicircle from $C$ intersects side $A D$ at $E$ . What is the length of $A E$ ?

A.

$1$

B.

$\frac{3}{2}$

C.

$2$

D.

$\frac{5}{2}$

E.

$3$