Mock AIME 5 2005-2006 Problems/Problem 12

Problem

Let $ABC$ be a triangle with $AB = 13$ , $BC = 14$ , and $AC = 15$ . Let $D$ be the foot of the altitude from $A$ to $BC$ and $E$ be the point on $BC$ between $D$ and $C$ such that $BD = CE$ . Extend $AE$ to meet the circumcircle of $ABC$ at $F$ . If the area of triangle $FAC$ is $\frac{m}{n}$ , where $m$ and $n$ are relatively prime positive integers, find $m+n$ .

Mock AIME 5 2005-2006 (Problems, Source)
Preceded by Problem 11	Followed by Problem 13
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15

Page

Toolbox

Search

Mock AIME 5 2005-2006 Problems/Problem 12

Contents

Problem

Solution

Solution

See also