If $r_{1}, r_{2}, r_{3}, s, △, a, b, c$ are the standard notations then which of the following is correct?

r_{1} = \frac{△}{s - a}

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r_{2} = \frac{△}{s - b}

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r_{3} = \frac{△}{s - c}

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All of the above

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Solution

The correct option is D All of the above
We have seen that $r_{1} = \frac{△}{s - a} r_{2} = \frac{△}{s - b} a n d r_{3} = \frac{△}{s - c} .$

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Similar questions

r_{1}, r_{2}, r_{3}, s, △, a, b, c

r_{1}, r_{2}, r_{3}, s, △, a, b, c

△ A B C

a < b < c

r

r_{1}, r_{2}, r_{3}

A, B, C

r < r_{1} < r_{2} < r_{3}

△ A B C, r_{1} r_{2} + r_{2} r_{3} + r_{3} r_{1} = \frac{r_{1} r_{2} r_{3}}{r}

\frac{r_{1}}{(s - b) (s - c)} + \frac{r_{2}}{(s - c) (s - a)} + \frac{r_{3}}{(s - a) (s - b)} = \frac{3}{r}

\frac{b - c}{r_{1}} + \frac{c - a}{r_{2}} + \frac{a - b}{r_{3}} = 0

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