1957 AHSME Problems/Problem 35

Problem

Side $AC$ of right triangle $ABC$ is divided into $8$ equal parts. Seven line segments parallel to $BC$ are drawn to $AB$ from the points of division. If $BC = 10$ , then the sum of the lengths of the seven line segments:

$\textbf{(A)}\ \text{cannot be found from the given information} \qquad \textbf{(B)}\ \text{is }{33}\qquad \textbf{(C)}\ \text{is }{34}\qquad\textbf{(D)}\ \text{is }{35}\qquad\textbf{(E)}\ \text{is }{45}$

Solution

$\boxed{\textbf{(D)} \text{ is } 35}$ .

1957 AHSC (Problems • Answer Key • Resources)
Preceded by Problem 34	Followed by Problem 36
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1957 AHSME Problems/Problem 35

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