Question

Height of an equilateral triangle is 9 root
3 cm.Find its area​

Answer 1

Answer:

Let Side Of The Equilateral Triangle Be (a)cm.

Height = 9√3 cm

√3/2a = 9√3

:(√3 cancel by √3)

Then

a = 9×2

= 18 cm

Area Of Equilateral Triangle= √3/4×a^2

= √3/4 ×(18)^2

= 81√3 cm 2

Answer 2

The equilateral triangle with a height of 9√3 cm has an area of 81√3 $cm^{2}$.

The area of an equilateral triangle can be found by using the formula:

Area = (√3/4) * $side length^{2}$

If the height of the equilateral triangle is 9√3 cm, then we can use this height and the side length to find the area. We know that the height of an equilateral triangle is equal to half of its side length, so we can use this information to solve for the side length:

9√3 = (1/2) * side length

Solving for the side length, we get:

side length = (2 * 9√3) cm = 18√3 cm

Now that we have the side length, we can substitute it into the formula for the area:

Area = (√3/4) * (18√3)^2 = (√3/4) * 324 = 81√3 $cm^{2}$

So, the area of the equilateral triangle with a height of 9√3 cm is 81√3 $cm^{2}$.

For more such questions on the equilateral triangles: https://brainly.in/question/14227803

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