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Question: In a DABC, if r = r<sub>2</sub> + r<sub>3</sub> –r<sub>1</sub> and ĐA \>p/3 then range of <img src="...

In a DABC, if r = r2 + r3 –r1 and ĐA >p/3 then range of is equal to-

A

(12,2)\left( \frac { 1 } { 2 } , 2 \right)

B

(12,)\left( \frac { 1 } { 2 } , \infty \right)

C

(12,3)\left( \frac { 1 } { 2 } , 3 \right)

D

(3, ¥)

Answer

(12,2)\left( \frac { 1 } { 2 } , 2 \right)

Explanation

Solution

r = r2 + r3 – r1 ̃ sa\frac { \mathrm { s } } { \mathrm { a } } = 12\frac { 1 } { 2 } cosec2 A2\frac { \mathrm { A } } { 2 }