# It is quadratic, no it's trigonometry

Geometry Level 3

Let $$\triangle ABC$$ be a triangle right angled at $$C$$. If $$\tan\frac { A }{ 2 }$$ and $$\tan\frac { B }{ 2 }$$ are the roots of the quadratic equation $$ax ^{ 2 }+bx+c=0$$, then which of the following is true?

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