SAT Math Practice Question #23760 - SATify | SATify

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SAT Math Practice Question #23760 - SATify | SATify

#23760

geometry

trapezoids

Stewart's Theorem

hard

150 sec

Isosceles trapezoid $A BC D$ has parallel sides $\overline{A D}$ and $\overline{BC},$ with $BC < A D$ and $A B = C D .$ There is a point $P$ in the plane such that $P A = 1, PB = 2, PC = 4,$ and $P D = 5.$ What is $\frac{BC}{A D} ?$

A.

$\frac{1}{4}$

B.

$\frac{1}{3}$

C.

$\frac{1}{2}$

D.

$\frac{2}{3}$

E.

$\frac{3}{4}$