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Mathematics
Mathematics
Problem
In a circle with centre
O
O
O
, the perpendicular from
O
O
O
to chord
A
B
AB
A
B
meets
A
B
AB
A
B
at
M
M
M
, where
O
M
=
4
cm
OM = 4\,\text{cm}
O
M
=
4
cm
. Another chord
C
D
CD
C
D
has its midpoint
N
N
N
such that
O
N
=
4
cm
ON = 4\,\text{cm}
O
N
=
4
cm
. Prove that
A
B
=
C
D
AB = CD
A
B
=
C
D
.
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