Problem 50

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Problem 50: (2013 AMC 10a, 16)

A triangle with vertices $(6, 5)$, $(8, -3)$, and $(9, 1)$ is reflected about the line $x=8$ to create a second triangle. What is the area of the union of the two triangles? $\textbf{(A)}\ 9 \qquad$ $\textbf{(B)}\ \frac{28}{3} \qquad$ $\textbf{(C)}\ 10 \qquad$ $\textbf{(D)}\ \frac{31}{3} \qquad$ $\textbf{(E)}\ \frac{32}{3}$

Solution

Exercise 50: Solution

A triangle with vertices $(3,4)$, $(5,-3)$, and $(7,2)$ is reflected about the line $x=5$ to create a second triangle. What is the area of the union of the two triangles?

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