TS EAMCET · Maths · Properties of Triangles
In a triangle \(A B C\), if \(a=3, b=7, c=8\) then \(\sin \frac{B}{2} \tan \frac{C-A}{2}=\)
- A \(\frac{15 \sqrt{3}}{22 \sqrt{7}}\)
- B \(\frac{5 \sqrt{2}}{11 \sqrt{7}}\)
- C \(\frac{5 \sqrt{3}}{11}\)
- D \(\frac{5 \sqrt{3}}{22}\)
Answer & Solution
Correct Answer
(D) \(\frac{5 \sqrt{3}}{22}\)
Step-by-step Solution
Detailed explanation
Given \({a}=3, {~b}=7, {c}=8\) Now, \(\sin \left(\frac{{B}}{2}\right) \tan \left(\frac{{C}-{A}}{2}\right)=\sin \frac{{B}}{2}\left(\frac{{c}-{a}}{{c}+{a}}\right) \cot \frac{{B}}{2}\) \{By Law of tangent\}…
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