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2007 AMC 10B Problem 21

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2007 AMC 10B Problem 21AMC 10 Step by Step

Name: Date: September 13, 2026

Similar & Congruent Triangles · difficulty 3 of 5 · about 5 min · position P21-25

Right $\triangle ABC$ has $AB=3, BC=4,$ and $AC=5.$ Square $XYZW$ is inscribed in $\triangle ABC$ with $X$ and $Y$ on $\overline{AC}, W$ on $\overline{AB},$ and $Z$ on $\overline{BC}.$ What is the side length of the square?

A)
$\frac{3}{2}$
B)
$\frac{60}{37}$
C)
$\frac{12}{7}$
D)
$\frac{23}{13}$
E)
$2$

2007 AMC 10B Problem 21

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