SAT Math Practice Question #26161 - SATify | SATify

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SAT Math Practice Question #26161 - SATify | SATify

#26161

geometry

optimization

Relative Motion

medium

150 sec

In $△ B A C$ , $∠ B A C = 3 0^{\circ}$ , $A B = 8$ , and $A C = 6$ . 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.

$62$

B.

$82$

C.

$10$

D.

$12$

E.

$103$