Question

find the value of sin 60 geometrically
Please give answer fast

Answer 1

Sin 60 is equal to

Root3/2

Answer 2

Answer:

Step-by-step explanation:

Construction an equilateral triangle ABC . Drop a perpendicular from a to BC . Name it as D.

Now AD is the median as well as an altitude.

Therefore BD = DC

Let AB = 2a

BD=1/2BC

Or BD= 1/2 AB

I.e BD = a

Now in triangle ABD,

AB^2=AD^2 + BD^2

Or (2a)^2= AD^2 + a^2

4a^2-a^2= AD^2

AD^2=3a^2

AD=√3a

Sin 60°= P/H = √3a/2a = √3/2

Hence proved