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Mathematics
Mathematics
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
, side
B
C
BC
B
C
is produced to a point
D
D
D
. Given that
∠
A
C
B
=
∠
C
A
D
\angle ACB = \angle CAD
∠
A
C
B
=
∠
C
A
D
and
∠
A
B
C
=
∠
C
D
A
\angle ABC = \angle CDA
∠
A
B
C
=
∠
C
D
A
, prove that
△
A
B
C
≅
△
C
D
A
\triangle ABC \cong \triangle CDA
△
A
B
C
≅
△
C
D
A
and hence show that
B
C
=
D
A
BC = DA
B
C
=
D
A
.
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