TS EAMCET · Maths · Properties of Triangles
In a \(\triangle A B C\), with usual notation, if \(r=r_1-r_2-r_3\), then \(2 R=\)
- A \(\mathrm{a}\)
- B \(b+c\)
- C \(\mathrm{C}\)
- D \(c+a\)
Answer & Solution
Correct Answer
(A) \(\mathrm{a}\)
Step-by-step Solution
Detailed explanation
In a \(\triangle A B C\), it is given that, \(r=r_1-r_2-r_3\) \(\Rightarrow \quad \frac{\Delta}{s}=\frac{\Delta}{s-a}-\frac{\Delta}{s-b}-\frac{\Delta}{s-c}\) \(\Rightarrow \quad \frac{1}{s-b}+\frac{1}{s-c}=\frac{1}{s-a}-\frac{1}{s}\)…
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