Mock AIME 5 2005-2006 Problems/Problem 2

Problem

A circle $\omega_1$ of radius $6\sqrt{2}$ is internally tangent to a larger circle $\omega_2$ of radius $12\sqrt{2}$ such that the center of $\omega_2$ lies on $\omega_1$ . A diameter $AB$ of $\omega_2$ is drawn tangent to $\omega_1$ . A second line $l$ is drawn from $B$ tangent to $\omega_1$ . Let the line tangent to $\omega_2$ at $A$ intersect $l$ at $C$ . Find the area of $\triangle ABC$ .

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

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Mock AIME 5 2005-2006 Problems/Problem 2

Contents

Problem

Solution

Solution

See also