TS EAMCET · Maths · Properties of Triangles
In triangle \(\mathrm{ABC}\), if \(a=7, b=8, \mathrm{C}=\frac{3 \sqrt{5}}{2}\) and \(\mathrm{C}\) is an acute angle, then \(c=\)
- A \(\sqrt{145}\)
- B 5
- C 11
- D 9
Answer & Solution
Correct Answer
(D) 9
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { } \tan \mathrm{c}=\frac{3 \sqrt{5}}{2} \\ & \Rightarrow \cos \mathrm{C}=\frac{2}{7} \\ & \cos \mathrm{c}=\frac{\mathrm{a}^2+\mathrm{b}^2-\mathrm{c}^2}{2 \mathrm{ab}} \\ & \Rightarrow \frac{2}{7}=\frac{49+64-\mathrm{c}^2}{2.7 .8} \\ & \Rightarrow…
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