1992 AHSME Problems/Problem 30

Problem

Let $ABCD$ be an isosceles trapezoid with bases $AB=92$ and $CD=19$ . Suppose $AD=BC=x$ and a circle with center on $\overline{AB}$ is tangent to segments $\overline{AD}$ and $\overline{BC}$ . If $m$ is the smallest possible value of $x$ , then $m^2$ =

$\text{(A) } 1369\quad \text{(B) } 1679\quad \text{(C) } 1748\quad \text{(D) } 2109\quad \text{(E) } 8825$

Solution

$\fbox{B}$

1992 AHSME (Problems • Answer Key • Resources)
Preceded by Problem 29	Followed by Problem 30
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1992 AHSME Problems/Problem 30

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