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# Three concurrent circles meets a line

There are three concentric circles with their common centre being $$O$$. A line $$l$$ intersects the three circles. Let the intersection points on one side of the circles be named as $$A,B,C$$ respectively. If the distance of the line from the smaller circle be $$p$$, then prove that the area of triangle formed by the tangents at $$A,B,C$$ is $$\frac{AB\times BC\times CA}{2p}$$

Note by Ratul Pan
4 weeks ago