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Asked by Lakshmi Rajan | 5th Dec, 2012, 03:04: PM

Expert Answer:

This can be easily proved by considering an equilateral triangle.
 
Draw a perpendicular AD.
Consider triangle, ABD,
BD = 1/2 BC = 1/2 AB (since, AB = BC = CA and AD is perpendicular to BC)
 
angle BAD = 30 degree
Hence, clearly, the side opposite to angle 30 degree in right triangle ABD is half of the hypotnuese AB.

Answered by  | 6th Dec, 2012, 04:53: PM

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