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1957 AMC 12 Question 35

AMC12 · 1957 AMC 12

Question 35

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

Question illustration
  1. cannot be found from the given information
  2. is $33$
  3. is $34$
  4. is $35$
  5. is $45$