GAUSS8 1998 Problem 24

Past Contests GAUSS8 1998
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1

A circle is inscribed in trapezoid PQRS.
If PS=QR=25\:cm,PQ=18\:cm and SR=32\:cm, what is the length of the diameter of the circle?
gauss8 1998 24

Answer Choices
A. 14
B. 25
C. 24
D. \sqrt{544}
E. \sqrt{674}