## Problem of the Day #274: Isosceles Triangle and a Circle
*December 18, 2011*

*Posted by Alex in : potd , trackback*

The base of an isosceles triangle, with length $8$, is tangent to a circle of radius $4$. Given that the isosceles triangle has an area of $32$, find the perimeter of the triangle such that area contained in the triangle but not in the circle is maximized.

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