Question

Find the value of sin 30 degree geometrically.

Answer 1

Hey!!

Here is your answer ⤵
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For finding the value of sin 30° geometrically, we construct an equilateral triangle ABC  of side 2a. From A, we draw perpendicular AD to BC. Now, BD = CD  = 1/2 BC = a

In triangle ABD, angle BAD + angle BDA + angle DAB  = 180 (BY ANGLE SUM PROPERTY)

 ⇒  60°+ BAD + 90° = 180° (Since AD || BC  and all angles are 60° in a equilateral triangle)

 ⇒  BAD = 30°

In Right Triangle,

Sin 30°  =  BD / AB=  a / 2 a   = 1/ 2

hence geometrically shown that sin 30 is 1/2
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Hope it helps!

Answer 2

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