SOLUTION: AB is a chord of a circle of radius
10cm, M is the midpoint of AB and line NM
is perpendiciler to AB drawn from the circumference of the circle. if MN is 2cm, calculate AB
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Question 1182097: AB is a chord of a circle of radius
10cm, M is the midpoint of AB and line NM
is perpendiciler to AB drawn from the circumference of the circle. if MN is 2cm, calculate AB
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
.
Since NM is perpendicular to AB and bisects AB it must pass through centre O.
ON is the radius=10
NM =2
OM =8
Apply Pythagoras theorem in triangle OMB
10^2-8^2-MB^2
36 = MB^2
MB = 6
Therefore AB = 2 * MB =12 cm
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