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ln a triangle with sides a, b, c if r1 g...

ln a triangle with sides a, b, c if r1 gt r2 gt r3 (which are the ex-radii), then

A

`agtbgtc`

B

`altbltc`

C

`a gtb` and `b ltc`

D

`altb` and `bgtc`

Text Solution

Verified by Experts

We have,
`thereforer_(1)gtr_(2)gtr_(3)`
`rArr(Delta)/(s-a)gt(Delta)/(s-b)gt(Delta)/(s-c)[becauser_(1)=(Delta)/(s-a),r_(2)=(Delta)/(s-b)` and `r_(3)=(Delta)/(s-c)]`
`rArrs-alts-blts-crArr-alt-blt-crArragtbgtc`
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OBJECTIVE RD SHARMA-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Chapter Test
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