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Let AB be a chord of a circle with centre O and radius 17 cm.
Draw OL ⊥ AB. Join OA.
Then , OL=8cm and OA=17cm.
From the right ΔOLA , we have
OA^2=OL^2+AL^2
⇒AL^2=OA^2−OL^2=[(17)^2−(8)^2]cm^2
=(17+8)(17−8)cm^2=225cm^2
⇒AL=√225=15cm.
Since the perpendicular fromthe centre of a circle to a chord bisects the chord, we have
AB=2×AL=(2×15)cm=30cm
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