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Mathematics
Mathematics
Problem
In the given figure,
△
A
B
C
\triangle ABC
△
A
B
C
is an isosceles triangle in which
A
B
=
A
C
AB = AC
A
B
=
A
C
. If
A
B
AB
A
B
and
A
C
AC
A
C
are produced to
D
D
D
and
E
E
E
respectively such that
B
D
=
C
E
BD = CE
B
D
=
C
E
, prove that
B
E
=
C
D
BE = CD
B
E
=
C
D
.
Hint.
Show that
△
A
C
D
≅
△
A
B
E
\triangle ACD \cong \triangle ABE
△
A
C
D
≅
△
A
B
E
.
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