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Standard IX
Mathematics
Properties of Isosceles Triangle
Question
In the figure, given below,
A
B
=
A
C
.
Hence,
∠
B
A
C
=
∠
A
C
D
.
True
False
A
True
B
False
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Solution
Verified by Toppr
Given,
A
B
=
A
C
.
Hence,
∠
A
B
C
=
∠
A
C
B
(Isosceles triangle property).
Also,
O
B
bisects
∠
B
and
O
C
bisects
∠
C
.
Thus,
∠
O
B
C
=
∠
A
B
O
=
1
2
(
∠
B
)
and
∠
O
C
B
=
∠
A
C
O
=
1
2
(
∠
C
)
.
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Similar Questions
Q1
In the figure, given below,
A
B
=
A
C
.
Hence,
∠
B
A
C
=
∠
A
C
D
.
View Solution
Q2
In the given figure, AB = AC and ∠ACD = 105°, find ∠BAC.