AB is a line segment and M is its midpoint. Three semicircles are dra – InterviewSolution

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1.	AB is a line segment and M is its midpoint. Three semicircles are drawn with AM, MBand AB as diameters on the same side of the line AB. A circle with radius r unit is drawn so that it touches all the three semicircles. show that AB = 6 ×r.
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