Two parallel chords are drawn in a circle of Diameter 30 cm. The length of one chord is 24 cm and the distance between the two chords is 21 cm, find the length of other two chords.
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AD=Diameter=30 cm
CD=Chord=24 cm
x+y=21
Again, y
2
+12
2
=15
2
⇒y
2
=15
2
−12
2
⇒y
2
=81
⇒y=9
x=21−9=12
Now, 12
2
+a
2
=16
2
a
2
=16
2
−12
2
=81
⇒a=9
Length of the chord AB=2×9=18cm
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