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2019 AMC 10B Problem 15

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2019 AMC 10B Problem 15AMC 10 Step by Step

Name: Date: September 13, 2026

Triangles: Area & Pythagorean · difficulty 3 of 5 · about 5 min · position P11-15

Right triangles $T_1$ and $T_2$ have areas 1 and 2, respectively. A side of $T_1$ is congruent to a side of $T_2$ , and a different side of $T_1$ is congruent to a different side of $T_2$ . What is the square of the product of the other (third) sides of $T_1$ and $T_2$ ?

A)
$\frac{28}{3}$
B)
$10$
C)
$\frac{32}{3}$
D)
$\frac{34}{3}$
E)
$12$

2019 AMC 10B Problem 15

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