Question

If the area of equilateral triangle is 36√3 cm² . Find it's height.

Answer 1

Answer:

6√3 cm

Step-by-step explanation:

First of all let us calculate the side of this equilateral triangle.

Let the sides of equilateral triangle be "s" cm.

Also, Area of equilateral triangle = √3/4×(s)²

Then, √3/4 × (s)² = 36√3

=> s²/4 = 36

=> (s/2)² = 36

=> s/2 = √36 cm or 6 cm.

=> s = (6×2) cm = 12 cm.

Now, by using the formula, we get :

Height of equilateral triangle

= √3/2 × (s)

= √3/2 × (12)

= 6√3 cm

Hope it helps