AP EAMCET · Maths · Properties of Triangles
In \(\triangle A B C,\left(r_2+r_3\right) \cot \left(\frac{B+C}{2}\right)=\)
- A a+b+c
- B a
- C b
- D c
Answer & Solution
Correct Answer
(B) a
Step-by-step Solution
Detailed explanation
Given, in \(\triangle A B C\) \[ \begin{aligned} & \left(r_2+r_3\right) \cot \left(\frac{B+c}{2}\right)=\left(\frac{\Delta}{s-b}+\frac{\Delta}{s-c}\right) \tan \frac{A}{2} \\ & =\frac{\Delta(s-c+s-b)}{(s-b)(s-c)} \frac{\Delta}{s(s-a)} \end{aligned} \] \[ =2 s-b-c=a \] Hence,…
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