Published by:
CGP EDU Academic Team
Published on: August 13, 2026
In a 
; if 
, where 
denotes incentre; 
and 
denote centres of the circles escribed to the sides 
and 
respectively and 
be the radius of the circum circle of 
. Find 
.
Text Solution
Verified by ExpertsThe correct answer is:
16
(16)
Recall Key Formulas:
The distance between the incentre ( 
) and excentre ( 
) is 
. The distance between
excentres ( 
) is 
.
Square the Terms:
Sum and Simplify:
Using the identity 
:
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