TS EAMCET · Maths · Properties of Triangles
In any triangle \(\mathrm{ABC}, r^2 \cot \frac{\mathrm{A}}{2} \cot \frac{\mathrm{B}}{2} \cot \frac{\mathrm{C}}{2}=\)
- A \(\Delta\)
- B \(2 \Delta\)
- C \(\Delta^2\)
- D \(5 \Delta\)
Answer & Solution
Correct Answer
(A) \(\Delta\)
Step-by-step Solution
Detailed explanation
Given \(r^2 \cot \left(\frac{A}{2}\right) \cot \left(\frac{B}{2}\right) \cot \left(\frac{C}{2}\right)\) We have \(\cot \left(\frac{\mathrm{A}}{2}\right)=\left(\frac{s-a}{r}\right), \cot \left(\frac{\mathrm{B}}{2}\right)=\left(\frac{s-b}{r}\right)\) formula Then,…
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