{[b2 + c2] / [b + c]} + {[c2 + a2] / [c + a]} + {[a2 + b2] / [a + b]} is
Explanation for correct options:
Step 1: Declaring the theorem:
Given:
We know,
If, or
Step 2: Comparing the given equation
Here, , ,
..(1)
Again, , ,
..(2)
Now, , ,
..(3)
Step 3: Solving the equations:
Adding equation (1 + 2 + 3),
Hence, Option (B) is correct.
Explanation for incorrect options:
Option (A):
Since,
Therefore is not greater than .
Hence Option (A) is incorrect.
Option (C):
Since,
Therefore, is not greater than
Hence Option (C) is incorrect.
Option (D): None of these
Since,
Therefore, is greater than . which is one of these options.
Hence, Option (D) is incorrect.
Hence, Option (B) is the correct option.