Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let 
be the lengths of the sides of a triangle (no two of them are equal) and 
. If the roots of the equation 
are real, then:
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
A
We are given the quadratic:
with triangle sides 
(all distinct), and roots real.
Step 1: Discriminant condition
For real roots:
Step 2: Bound the fraction
For any triangle with distinct sides:
So:
A more precise known inequality for any triangle:
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