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Mathematics
Mathematics
Problem
Through vertex
C
C
C
of
△
A
B
C
\triangle ABC
△
A
B
C
, a line
C
E
CE
C
E
is drawn parallel to
A
B
AB
A
B
. If
∠
A
B
C
=
∠
E
C
A
\angle ABC = \angle ECA
∠
A
B
C
=
∠
E
C
A
, prove that
A
C
=
B
C
AC = BC
A
C
=
B
C
.
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