Question

Perimeter of an equilateral triangle is 12. Length of its altitude drawn on any

side is :

[A] 2√3 [B] 4 [C] 3√3 [D] 6​

Answer 1

As the ∆ is equilateral

perimeter = addition of all sides

hence each side = 4

now altitude drawn on any side of equilateral ∆ ,bisect the line

hence by using pythagoras theorem

{length of altitude]^2=16-4=12

hence length of altitude=√12=2√3