AP EAMCET · Maths · Properties of Triangles
In a triangle \(\mathrm{ABC} s\left[\frac{r_1-r}{a}+\frac{r_2-r}{b}+\frac{r_3-r}{c}\right]=\)
- A \(\frac{1}{r_1}+\frac{1}{r_2}+\frac{1}{r_3}\)
- B \(r_1+r_2+r_3\)
- C \(r_1 r_2 r_3\)
- D \(\frac{1}{r}-\frac{1}{r_1}+\frac{1}{r_2}+\frac{1}{r_3}\)
Answer & Solution
Correct Answer
(B) \(r_1+r_2+r_3\)
Step-by-step Solution
Detailed explanation
\(r=(\mathrm{s}-\mathrm{a}) \tan \mathrm{A} / 2=(\mathrm{s}-\mathrm{b}) \tan \mathrm{B} / 2=(\mathrm{s}-\mathrm{c}) \tan \mathrm{C} / 2\)…
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