AP EAMCET · Maths · Properties of Triangles
If in a \(\triangle A B C, s(s-a)=(s-b)(s-c)\), then
- A \(\angle A=\frac{\pi}{4}\)
- B \(\angle B=\frac{\pi}{3}\)
- C \(\angle A=\frac{\pi}{2}\)
- D \(\angle B=\frac{\pi}{2}\)
Answer & Solution
Correct Answer
(C) \(\angle A=\frac{\pi}{2}\)
Step-by-step Solution
Detailed explanation
Given, \(\triangle A B C\) and \[ \begin{aligned} s(s-a) & =(s-b)(s-c) \\ \because \quad \sin \frac{A}{2} & =\sqrt{\frac{(s-b)(s-c)}{b c}}=\sqrt{\frac{s(s-a)}{b c}} \end{aligned} \] Also,…
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