if two intersecting chords of a circle make equal angles with diameter passing through their point of intersection prove that the chords are equal.
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simran7890:
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In triangle LOE and triangle MOE
1)- EO= EO (common)
2)-Angle L = Angle M ( both 90 degree, Given)
3)- Angle OLE = Angle OME ( given)
Triangle LOE ~ Triangle MOE (AAS Rule)
LO = MO ( cpct )
So we know that if the distance of the chord from centre is equal then the chords are also equal.
1)- EO= EO (common)
2)-Angle L = Angle M ( both 90 degree, Given)
3)- Angle OLE = Angle OME ( given)
Triangle LOE ~ Triangle MOE (AAS Rule)
LO = MO ( cpct )
So we know that if the distance of the chord from centre is equal then the chords are also equal.
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