## Challenge Problem 2 2016

(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

## Scaling Circles

The area of circle $$A$$ is $$25\pi$$, and the area of circle $$B$$ is $$4\pi$$. What is ratio of the circumference of circle $$A$$ to the circumference of circle $$B$$.

(A) 2.5 : 1      (B) 5 : 2      (C) 5 : 4    (D) 25 : 16      (E) 125 : 1 Read more ›