AP EAMCET · Maths · Properties of Triangles
In any triangle \(\mathrm{ABC}, \sin \frac{A}{2} \leq\)
- A \(\frac{2 a}{\sqrt{b c}}\)
- B \(\frac{a}{2 \sqrt{b c}}\)
- C \(\frac{3 a}{\sqrt{b c}}\)
- D \(\frac{\sqrt{b c}}{2 a}\)
Answer & Solution
Correct Answer
(B) \(\frac{a}{2 \sqrt{b c}}\)
Step-by-step Solution
Detailed explanation
\(\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}=k\) \(\Rightarrow \mathrm{a}=\mathrm{k} \sin \mathrm{A}, \mathrm{b}=\mathrm{k} \sin \mathrm{B}, \mathrm{c}=\mathrm{k} \sin \mathrm{C}\)…
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