A problem by Sayan Chaudhuri

Level pending

An isosceles triangle with base 6 cms. and base angles 30o each is inscribed in a circle. A second circle, which is situated outside the triangle, touches the first circle and also touches the base of the triangle at its midpoint. Find its radius in the form a b c \frac{a\sqrt{b}}{c} .Find a+b+c .


The answer is 8.

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