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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)
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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)
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