Properties of TriangleMedium
Question
In acute angled triangle ABC, r + r1 = r2 + r3 and ∠B > 
then.
then.Options
A.b + 2c < 2a < 2b + 2c
B.b + 4c < 4a < 2b + 4c
C.b + 4c < 4a < 4b + 4c
D.b + 3c < 3a < 3b + 3c
Solution
r - r2 = r3 - r1
tan2 (B/2) =
But
⇒ tan2
⇒
b < 3a - 3c < 3b
b + 3c < 3a < 3b + 3c
tan2 (B/2) =
But
⇒ tan2⇒
b < 3a - 3c < 3b
b + 3c < 3a < 3b + 3c
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