AP EAMCET · Maths · Properties of Triangles
In \(\triangle A B C\), if \(\cot \frac{A}{2}: \cot \frac{B}{2}: \cot \frac{C}{2}=3: 7: 9\), then \(a: b: c=\)
- A \(8: 6: 5\)
- B \(5: 6: 8\)
- C \(10: 8: 5\)
- D \(5: 8: 10\)
Answer & Solution
Correct Answer
(A) \(8: 6: 5\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { } \cot \frac{A}{2}: \cot \frac{B}{2}: \cot \frac{C}{2}=3: 7: 9 \\ & \sqrt{\frac{s(s-a)}{(s-b)(s-c)}}: \sqrt{\frac{s(s-b)}{(s-a)(s-c)}}: \sqrt{\frac{s(s-c)}{(s-a)(s-b)}} \\ & =3: 7: 9 \\ & \Delta \sqrt{\frac{s(s-a)}{(s-b)(s-c)}}: \Delta…
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