TS EAMCET · Maths · Properties of Triangles
In a triangle, if \(b=20, c=21\) and \(\sin A=\frac{3}{5}\), then \(a\) is equal to :
- A 12
- B 13
- C 14
- D 15
Answer & Solution
Correct Answer
(B) 13
Step-by-step Solution
Detailed explanation
We have, \(b=20, c=21\) and \(\sin A=\frac{3}{5}\) Now, \(\cos ^2 A=1-\sin ^2 A=1-\left(\frac{3}{5}\right)^2\) \(=1-\frac{9}{25}=\frac{16}{25}\) \(\Rightarrow \quad \cos A=\frac{4}{5}\) Now, \(\cos A=\frac{b^2+c^2-a^2}{2 b c}\)…
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