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Question: In a DABC, r<sub>1</sub>\< r<sub>2</sub>\< r<sub>3</sub>, then...

In a DABC, r1< r2< r3, then

A

a< b < c

B

a > b > c

C

b < a < c

D

a < c < b

Answer

a< b < c

Explanation

Solution

r1 < r2 < r3

̃ ΔSa\frac { \Delta } { S - \mathrm { a } } < < ΔSc\frac { \Delta } { S - c }

̃ < 1Sb\frac { 1 } { S - b } <

̃ S – a > S – b > S – c

̃ – a > – b > – c

̃ a < b < c