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CEMC Gauss (Grade 8), 1998

Geometry Difficulty 3.0 AMC 10/12 Find the answer Canada

A circle is inscribed in trapezoid $PQRS$ . If $PS = QR = 25\text{ cm}$ , $PQ = 18\text{ cm}$ and $SR = 32\text{ cm}$ , what is the length of the diameter of the circle?

(A) $14$ (B) $25$ (C) $24$ (D) $\sqrt{544}$ (E) $\sqrt{674}$

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