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Inscribed in a circles is an isosceles t...

Inscribed in a circles is an isosceles triangle ABC whose base AC=b and the base angle is `alpha`. A second circle touches the first circle and the base of the triangle at its midpoint D, and is situated outside the triangle. Find the radius of the second circle.

Text Solution

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The correct Answer is:
`r= (b)/(4) cot alpha`.
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