SAT Math Practice Question #25765 - SATify | SATify

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SAT Math Practice Question #25765 - SATify | SATify

#25765

geometry

angle bisector theorem

Relative Motion

hard

120 sec

In $△ A BC$ , $A B = 7$ , $BC = 8$ , and $C A = 9$ . Point $D$ lies on $\overline{BC}$ , and $\overline{A D}$ bisects $∠ B A C$ . Point $E$ lies on $\overline{A C}$ , and $\overline{BE}$ bisects $∠ A BC$ . The bisectors intersect at $F$ . What is the ratio $BF : FE$ ?

A.

$4 : 3$

B.

$5 : 3$

C.

$2 : 1$

D.

$7 : 4$

E.

$3 : 2$