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2022 AMC 10A Problem 23

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2022 AMC 10A Problem 23AMC 10 Step by Step

Name: Date: September 13, 2026

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

Isosceles trapezoid $ABCD$ has parallel sides $\overline{AD}$ and $\overline{BC},$ with $BC < AD$ and $AB = CD.$ There is a point $P$ in the plane such that $PA=1, PB=2, PC=3,$ and $PD=4.$ What is $\tfrac{BC}{AD}?$

A)
$\frac{1}{4}$
B)
$\frac{1}{3}$
C)
$\frac{1}{2}$
D)
$\frac{2}{3}$
E)
$\frac{3}{4}$

2022 AMC 10A Problem 23

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