Find the length of the tangent from a point M which is at a distance of 17 cm from the centre O of the circle of radius 8 cm
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Answer:
15 cm would be your answer.
Step-by-step explanation:
Let the length of tangent be l
and we know that the angle between radius and tangent through the point of contact is 90°
So, by Pythagoras theorem
l sq. +r sq.=t sq. {r is length of radii and t is the length between center and point from which tangent is drawn}
l sq.= t sq.- r sq.
l sq.= 17×17-8×8
l sq.=289-64
l sq.= 225
l= 15 cm
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