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In a triangle ABC if b+c=3a then find th...

In a triangle `ABC` if `b+c=3a` then find the value of `cot(B/2)cot(C/2)`

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To solve the problem, we need to find the value of \( \cot\left(\frac{B}{2}\right) \cot\left(\frac{C}{2}\) given that \( b + c = 3a \) in triangle \( ABC \). ### Step-by-Step Solution: 1. **Understanding the semi-perimeter**: The semi-perimeter \( S \) of triangle \( ABC \) is given by: \[ S = \frac{a + b + c}{2} ...
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Knowledge Check

  • In triangle ABC, a = 2, b = 3,c = 4 , then the value of cos A is

    A
    `21/24`
    B
    `21/12`
    C
    `24/21`
    D
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