SAT Math Practice Question #26659 - SATify | SATify

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SAT Math Practice Question #26659 - SATify | SATify

#26659

geometry

angle bisector theorem

Relative Motion

hard

150 sec

Triangle $A BC$ has a right angle at $B$ , $A B = 1$ , and $BC = 2$ . The angle bisector of $∠ C$ intersects side $\overline{A B}$ at $D$ . What is $B D$ ?

A.

$5 - 2$

B.

$25 - 4$

C.

$25 + 4$

D.

$4 - 25$

E.

$5 - 25$