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2006 AMC 10A Problem 16

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2006 AMC 10A Problem 16AMC 10 Step by Step

Name: Date: September 13, 2026

Similar & Congruent Triangles · difficulty 3 of 5 · about 5 min · position P16-20

A circle of radius $1$ is tangent to a circle of radius $2$ . The sides of $\triangle ABC$ are tangent to the circles as shown, and the sides $\overline{AB}$ and $\overline{AC}$ are congruent. What is the area of $\triangle ABC$ ?

A)
$\frac{35}{2}$
B)
$15\sqrt{2}$
C)
$\frac{64}{3}$
D)
$16\sqrt{2}$
E)
$24$

2006 AMC 10A Problem 16

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