SAT Math Practice Question #23106 - SATify | SATify

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SAT Math Practice Question #23106 - SATify | SATify

#23106

geometry

circles

hard

120 sec

Cyclic quadrilateral $EFG H$ has lengths $FG = 5$ , $G H = 5$ , and $H E = 8$ with $∠ G H E = 6 0^{\circ}$ . What is the length of the shorter diagonal of $EFG H$ ?

A.

$\frac{53}{7}$

B.

$\frac{55}{7}$

C.

$7$

D.

$8$

E.

$\frac{57}{7}$