# Recapitulation

Geometry Level 5

Three circles are enclosed in a rectangle such that each circle is tangent with one another and the rectangle. The dimensions of the rectangle are $$(8\sqrt6+20)$$ by 24. A triangle is formed using the points of tangency of the circles as vertices.

Find the area of the triangle, which can be expressed as the expression $$\frac{a\sqrt{b}}{c}$$ in lowest terms, where $$a$$, $$b$$ and $$c$$ are integers. Submit your answer as $$a+b+c$$.

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