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Mathematics
Mathematics
Problem
Points
A
A
A
,
B
B
B
, and
C
C
C
lie on a circle. Given that
∠
A
B
C
=
40
∘
\angle ABC = 40^\circ
∠
A
B
C
=
4
0
∘
and
∠
B
C
A
=
60
∘
\angle BCA = 60^\circ
∠
B
C
A
=
6
0
∘
, arrange the chords
A
B
AB
A
B
,
B
C
BC
B
C
, and
A
C
AC
A
C
in decreasing order of length. a)
A
B
>
A
C
>
B
C
AB > AC > BC
A
B
>
A
C
>
B
C
b)
B
C
>
A
B
>
A
C
BC > AB > AC
B
C
>
A
B
>
A
C
c)
A
C
>
B
C
>
A
B
AC > BC > AB
A
C
>
B
C
>
A
B
d)
A
B
>
B
C
>
A
C
AB > BC > AC
A
B
>
B
C
>
A
C
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