MathDB

Circles

A, B

, and

C

each have radius

r

, and their centers are the vertices of an equilateral triangle of side length

6r

. Two lines are drawn, one tangent to

A

and

C

and one tangent to

B

and

C

, such that

A

is on the opposite side of each line from

B

and

C

. Find the sine of the angle between the two lines.
http://4.bp.blogspot.com/-IZv8q-3NYZg/XXmrroy2PnI/AAAAAAAAKxg/jSOcOOQ8Kyw0EwHUifXJ1jOd2ENAo1FfACK4BGAYYCw/s200/2008%2Bpumac%2Bb6.png

Problem Statement