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2014 AMC 10B Problem 21

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2014 AMC 10B Problem 21AMC 10 Step by Step

Name: Date: September 13, 2026

Quadrilaterals & Polygon Areas · difficulty 4 of 5 · about 6 min · position P21-25

Trapezoid $ABCD$ has parallel sides $\overline{AB}$ of length $33$ and $\overline{CD}$ of length $21$ . The other two sides are of lengths $10$ and $14$ . The angles at $A$ and $B$ are acute. What is the length of the shorter diagonal of $ABCD$ ?

A)
$10\sqrt{6}$
B)
$25$
C)
$8\sqrt{10}$
D)
$18\sqrt{2}$
E)
$26$

2014 AMC 10B Problem 21

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