AP EAMCET · Maths · Properties of Triangles
Consider the following statements.
I. In \(\triangle A B C\), if \(c=6\) and \(\cos C=\frac{-11}{25}\), then
\[
R=\frac{25}{2 \sqrt{14}}
\]
II. In \(\triangle A B C\), if \(a=3, b=4, c=6\), then \(A B C\) is acute angled triangle.
Which of the above statements is/are true?
- A Only I
- B Only II
- C Both I and II
- D Neither I nor II
Answer & Solution
Correct Answer
(A) Only I
Step-by-step Solution
Detailed explanation
Given statements, I. In \(\triangle A B C\), if \(c=6\) and \(\cos C=-\frac{11}{25}\). Then, \(\sin C=\sqrt{1-\frac{121}{625}}=\sqrt{\frac{625-121}{625}}\) \[ =\sqrt{\frac{504}{25}}=\frac{6 \sqrt{14}}{25} \]…
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