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Byju's Answer
Standard IX
Mathematics
Every Point on the Bisector of an Angle Is Equidistant from the Sides of the Angle.
In ABC if ...
Question
In
△
A
B
C
if
A
D
of is bisector of
∠
A
and
A
B
=
8
c
m
,
B
D
=
5
c
m
and
D
C
=
4
c
m
, then find
A
C
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Solution
In
△
A
B
C
A
D
, bisect vertex angle
A
∠
B
A
D
=
∠
C
A
D
A
B
A
C
=
B
D
D
C
⇒
8
A
C
=
5
4
⇒
5
A
C
=
8
×
4
⇒
A
C
=
32
5
=
6.4
c
m
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Similar questions
Q.
In a ∆ABC, AD is the bisector of ∠BAC. If AB = 8 cm, BD = 6 cm and DC = 3 cm. Find AC
(a) 4 cm
(b) 6 cm
(c) 3 cm
(d) 8 cm