Published by:
CGP EDU Academic Team
Published on: August 12, 2026
In a triangle ABC, if a tan A + b tan B = (a + b) tan 
, prove that triangle is isosceles.
Text Solution
Verified by ExpertsThe correct answer is:
A
a tan A + b tan B = (a + b) tan 
⇒ a 
= b 
⇒ a 
= b 
⇒ 
= 
⇒ sin 
= 0
⇒ sin 
= 0 or 
– 
= 0
⇒ A = B or 2R (tan A – tan B) = 0
⇒ tan A = tan B
⇒ A = B
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