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2015-03-09T13:47:06+05:30

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See the diagram.  We use the principles that tangent and radius are perpendicular.  The angle inscribed in a semicircle is 90 deg.

If angle D and A are equal then it comes that each of them is 90/3 = 30 deg.
In triangle BCD,  the angles C and D are equal and hence, BD = BC.

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