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CGP EDU Academic Team
Published on: August 14, 2026
Three circles, whose radii are a, b and c, touch one another externally and the tangents at their points of contact meet in a point, prove that the distance of this point from either of their points of contact is 
.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
required distance = inradius of Δ ABC
2s = a + b + b + c + c + a
= 2 (a + b + c)
s = a + b + c
Δ = 
= 
∴ required distance
= 
= 
= 
= 
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