# 300,000 points problem!

Geometry Level 3

In a triangle $$ABC$$, we have $$\cot A+\cot{B}=\cot{C}$$, where $$A$$, $$B$$ and $$C$$ are the angles of the triangle and $$a$$, $$b$$ and $$c$$ are the lengths of the side opposite the angle respectively. Determine $$\dfrac{a^2+b^2}{c^2}$$.

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