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PQ and RS are two parallel chords of a circle whose radius is 10cm. PQ=16 , RS= 12. find distance between two chords lying on same side of centre. I know the solution for this question, but my query is : in the question it's not given that there is a perpendicular drawn from centre to the sides. Then, from where do we always consider the property perpendicular from centre to a chord bisects the chord?

PQ and RS are two parallel chords of a circle whose radius is 10cm.
PQ=16 , RS= 12.
find distance between two chords lying on same side of centre.
I know the solution for this question,  but my query is : in the question it's not given that there is a perpendicular drawn from centre to the sides. Then, from where do we always consider the property perpendicular from centre to a chord bisects the chord?

Grade:8

1 Answers

Vijay Mukati
askIITians Faculty 2590 Points
8 years ago
Dear Student,

Although perpendicular is not given, but even though if we have the circle so we can draw the perpendicular from it and use that property.

Thanks.

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