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SAT Math

Category - Geometry and Measurement

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IfAB||CD, AE=12, AC=4, and CD=6, what is the length of AB in the figure below?

Explanation

Answer: C - The length of AB is 9. Use ∆ABE~∆CDE.
AE:CE=AB:CD⟺AE:(AE-AC)=AB:CD⟺12:(12-4)=AB:6⟺8AB=6×12⟺
⟺AB=(6×12)/8=72/8=9

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