AP EAMCET · Maths · Properties of Triangles
In a \(\triangle A B C\), if \(r_1=36, r_2=18\) and \(r_3=12\), then \(s=\)
- A \(6\)
- B \(8\)
- C \(16\)
- D \(36\)
Answer & Solution
Correct Answer
(D) \(36\)
Step-by-step Solution
Detailed explanation
Given, \(r_1=36, r_2=18\) and \(r_3=12\) We know that, in a \(\triangle A B C\) \(\frac{1}{r}=\frac{1}{r_1}+\frac{1}{r_2}+\frac{1}{r_3}\) \(\Rightarrow \frac{1}{r}=\frac{1}{36}+\frac{1}{18}+\frac{1}{12} \Rightarrow \frac{1}{r}=\frac{2+4+6}{72}\) \(r=6\) Now, we know that,…
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