Published by:
CGP EDU Academic Team
Published on: August 14, 2026
In-circle of radius 4 cm of a triangle ABC touches the side BC at D. If BD = 6cm., DC = 8 cm, then the area of the
triangle ABC is-
A
42 cm 2
B
84 cm 2
C
cm 2
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
B
We have ∠ IBD = 
, ∠ ICD = 
BD = 6 cm, CD = 8 cm ⇒ BC = a = 14 cm. Also, ID = r = 4 cm
Now, tan 
= 
= 
and tan 
= 
= 
tan 
tan 
= 
× 
= 
∴ 
× 
= 
⇒ s = 21 cm
∴ Area, Δ = rs = 4 × 21 = 84 cm 2
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