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Three circles whose radii are a,b and c ...

Three circles whose radii are a,b and c and c touch one other externally and the tangents at their points of contact meet in a point. Prove that the distance of this point from either of their points of contact is `((abc)/(a+b+c))^(1/2)`.

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The correct Answer is:
`l^2=(abc)/(a+b+c)`
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