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Byju's Answer
Standard IX
Mathematics
Application of Similarity
In the adjoin...
Question
In the adjoining figure,
△
A
B
C
is an isosceles triangle in which
A
B
=
A
C
. If
E
and
F
be the midpoints of
A
C
and
A
B
respectively, prove that
B
E
=
C
F
.
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Solution
Δ
A
B
C
A
B
=
A
C
⟹
B
F
=
E
C
∠
B
=
∠
C
B
C
=
B
C
By
S
A
S
criteria
Δ
B
F
C
∼
Δ
C
E
B
i
m
p
l
i
e
s
B
E
=
F
C
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