Question

Find the value of Sin 30° geometrically..
answer the question properly with method...

Answer 1

Answer:

Hey   Vedu  !

Here is your answer ⤵

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1. For finding the value of sin 30° geometrically
2. we construct an equilateral triangle ABC  of side 2a.
3. From A, we draw perpendicular AD to BC. Now,

BD = CD  = 1/2 BC = a .............[1]

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 you dear vedu......!

Answer 2

its your answer hope i helped you