Challenge Problem 2 2016

Triangle 1

(Note: Not drawn to scale)

In triangle ABC, CE is perpendicular to AB and BD is perpendicular to to AC. If EC = 5 and BD = 3, what is the ratio of AC to AB?

(A) 3 : 5          (B) 3 : 4          (C) 4 : 5          (D) 1 : 1          (E) 5 : 3

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