# Triangle + Trigonometry = Anglometry

Geometry Level 3

In any triangle $$ABC$$, if $$\cot A = \sqrt{ac} , \cot B = \sqrt{c/a}, \cot C = \sqrt{ a^2 / c }$$, then the value of $$a + a^2 + c$$ is equal to $$\underline{ \quad }$$?

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