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O is a centre of circle
CD is a diameter of circle
CD perpendicular AB
let centre of chord be E
CD perpendicular AB..............(given)
OE perpendicular AB.............(figure)
AE=BE ........................................(perpendicular
drawn from centre of
circle to a chord bisect
the chord).....(1)
In triangle AED and triangle BED
seg DE=seg DE...............................(common side)
angle DEA=angle DEB..................(seg OE
perpendicular
chord AB)
segAE=segBE................................(from 1)
triangle AED= triangle BED.......(from SAS test) AD=BD..............................(corresponding sides of
congruent triangle)
I hope this answer will help you
CD is a diameter of circle
CD perpendicular AB
let centre of chord be E
CD perpendicular AB..............(given)
OE perpendicular AB.............(figure)
AE=BE ........................................(perpendicular
drawn from centre of
circle to a chord bisect
the chord).....(1)
In triangle AED and triangle BED
seg DE=seg DE...............................(common side)
angle DEA=angle DEB..................(seg OE
perpendicular
chord AB)
segAE=segBE................................(from 1)
triangle AED= triangle BED.......(from SAS test) AD=BD..............................(corresponding sides of
congruent triangle)
I hope this answer will help you
urmisah621:
tq
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