SAT Math Practice Question #26658 - SATify | SATify

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SAT Math Practice Question #26658 - SATify | SATify

#26658

geometry

angle bisector theorem

Relative Motion

hard

150 sec

Triangle $A BC$ has a right angle at $B$ , $A B = 2$ , and $BC = 3$ . The angle bisector of $∠ A$ intersects side $\overline{BC}$ at $D$ . What is $B D$ ?

A.

$\frac{2 ( 13 - 2 )}{3}$

B.

$\frac{2 ( 13 + 2 )}{3}$

C.

$\frac{13 - 2}{3}$

D.

$\frac{3 ( 13 - 2 )}{2}$

E.

$\frac{2 13}{3}$