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In acute angled triangle ABC prove that ...

In acute angled `triangle ABC` prove that `tan ^(2)A+tan^(2)B+tan^(2)Cge9`.

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To prove that in an acute-angled triangle \(ABC\), the inequality \( \tan^2 A + \tan^2 B + \tan^2 C \geq 9 \) holds, we can follow these steps: ### Step 1: Use the Angle Sum Property In triangle \(ABC\), we know that the sum of the angles is: \[ A + B + C = 180^\circ \] ...
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