SAT Math Practice Question #21405 - SATify | SATify

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SAT Math Practice Question #21405 - SATify | SATify

#21405

Heron's Formula

geometry

triangle

hard

150 sec

In triangle $A BC$ , point $D$ lies on side $A C$ . The perpendicular bisector of $BC$ passes through $D$ , and $B D$ bisects $∠ A BC$ . If $A D = 16$ and $D C = 9$ , what is the area of triangle $A B D$ ?

A.

$3539 /4$

B.

$4039 /4$

C.

$4539 /4$

D.

$5039 /4$

E.

$5539 /4$