SAT Math Practice Question #27597 - SATify | SATify

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SAT Math Practice Question #27597 - SATify | SATify

#27597

geometry

cyclic quadrilaterals

hard

150 sec

Let $A BC D$ be a cyclic quadrilateral. The side lengths of $A BC D$ are distinct integers less than $20$ such that $BC \cdot C D = A B \cdot D A$ . What is the largest possible value of $B D$ ?

A.

$250$

B.

$\frac{533}{2}$

C.

$\frac{425}{2}$

D.

$221$

E.

$\frac{585}{2}$