# Observable Planets

Geometry Level 2

A circle is inscribed in an equilateral triangle. A smaller circle is drawn such that it is tangent to two sides of the triangle as well as the larger circle.

The area of the equilateral triangle is $$a \sqrt{b}$$, where $$a$$ and $$b$$ are positive integers with $$b$$ square-free. Find $$a + b.$$

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