Published by:
CGP EDU Academic Team
Published on: August 14, 2026
In triangle ABC, the length of the bisector of angle A is
A
B
C
cosec 
D
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(b, c)
From Δ ABD by the sine rule, we have
...(i)
Since the bisector of an angle of a triangle divides the opposite side in the ratio of the sides containing the angle, we have
.
Also, BD + DC = BC = m.
∴ BD = 
. a ...(ii)
From equations (i) and (ii) we get
AD = 
= 
= 2. 
. sin B cos 
= 2. 
. sin B cos 
= 
[by the law of sines]
Thus, is correct.
Also, AD = 
= 
= 
... 
Therefore, is also correct.
Again AD = 
cosec 
= 
... 
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