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AP EAMCET · Maths · Properties of Triangles

In \(\triangle \mathrm{ABC}, \frac{\mathrm{r}_1-\mathrm{r}}{\mathrm{a}}+\frac{\mathrm{r}_2-\mathrm{r}}{\mathrm{b}}=\)

  1. A \(\frac{a}{r_3}\)
  2. B \(\frac{\mathrm{b}}{\mathrm{r}_3}\)
  3. C \(\frac{\mathrm{c}}{\mathrm{r}_3}\)
  4. D 1
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{\mathrm{c}}{\mathrm{r}_3}\)

Step-by-step Solution

Detailed explanation

\(\frac{r_1-r}{a}+\frac{r_{2-r}}{b}=\frac{\frac{\Delta}{s-a}-\frac{\Delta}{s}}{a}+\frac{\frac{\Delta}{s-b}-\frac{\Delta}{s}}{b}\)…