SAT Math Practice Question #22627 - SATify | SATify

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SAT Math Practice Question #22627 - SATify | SATify

#22627

geometry

quadrilaterals

hard

150 sec

Consider all quadrilaterals $A BC D$ such that $A B = 5$ , $BC = 6$ , $C D = 7$ , and $D A = 6$ . What is the radius of the largest possible circle that fits inside or on the boundary of such a quadrilateral?

A.

$7$

B.

$\frac{35}{2}$

C.

$10$

D.

$22$

E.

$\frac{3 5}{2}$