SAT Math Practice Question #26162 - SATify | SATify

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SAT Math Practice Question #26162 - SATify | SATify

#26162

geometry

optimization

Relative Motion

hard

150 sec

In $△ B A C$ , $∠ B A C = 1 5^{\circ}$ , $A B = 12$ , and $A C = 8$ . Points $D$ and $E$ lie on $\overline{A B}$ and $\overline{A C}$ respectively. What is the minimum possible value of $BE + D E + C D$ ?

A.

$160 - 802$

B.

$192 - 962$

C.

$208 - 962$

D.

$224 - 1122$

E.

$256 - 1282$