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Mathematics
Mathematics
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
,
∠
C
=
90
∘
\angle C = 90^{\circ}
∠
C
=
9
0
∘
and
A
C
=
B
C
AC = BC
A
C
=
B
C
. A perpendicular
C
D
CD
C
D
is drawn to
A
B
AB
A
B
. Prove that
C
D
CD
C
D
bisects
∠
C
\angle C
∠
C
of
△
A
B
C
\triangle ABC
△
A
B
C
.
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