Question

If area of an equilateral triangle is 81 root3 cm sq the.Find its height

Answer 1

Answer:

9√3 cm

Step-by-step explanation:

Let the side of equilateral triangle be 'a' cm.

Area of equilateral triangle = 81√3 cm²

⇒( √3/4 ) a² = 81√3

⇒ a² = 81√3 * 4 / √3

⇒ a² = 81 * 4

⇒ a² = 324

⇒ a = √324

⇒ a = 18 cm

Now, we know that;

Height = (√3 / 2) a

⇒ h = √3 / 2 * 18

⇒ h = √3 * 9

⇒ h = 9√3 cm

Hence, the height of equilateral triangle is 9√3 cm