Properties of TriangleHard

Question

In acute angled triangle ABC, r + r1 = r2 + r3 and  ∠B  >    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 

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