O is the center of a circle of radius 8cm. The tangent at a point A on the circle cuts a line through O at B such that AB=15cm.Find OB. With diagram.
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Answer:
OA AB.
By Pythagoras Theorem,
OB2 = OA2 + AB2
OB2 = 82 + 152
OB2 = 64 + 225
OB2 = 289
OB2 = 172
OB = 17 cm.
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