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2021 AMC Fall 10B Problem 13

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2021 AMC Fall 10B Problem 13AMC 10 Step by Step

Name: Date: September 13, 2026

Similar & Congruent Triangles · difficulty 3 of 5 · about 4 min · position P11-15

A square with side length $3$ is inscribed in an isosceles triangle with one side of the square along the base of the triangle. A square with side length $2$ has two vertices on the other square and the other two on sides of the triangle, as shown. What is the area of the triangle?

A)
$19\frac14$
B)
$20\frac14$
C)
$21 \frac34$
D)
$22\frac12$
E)
$23\frac34$

2021 AMC Fall 10B Problem 13

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