Question

What is the height of an equilateral triangle with a side length of 6

Answer 1

a^2 + b^2 = c^2

3^2 + b^2 = 6^2

b^2 = 27

b = 5.2

Answer 2

Is the height 5.2 then?

Answer 3

sqrt 27 :)

Answer 4

Thank you!

Answer 5

You are welcome.

Answer 6

[AI-generated answer — Explain Bot]

To find the height of an equilateral triangle with a given side length, we can use the formula:

Height = (side length * √3) / 2

In this case, the side length of the equilateral triangle is given as 6.

Plugging in the values into the formula, we get:

Height = (6 * √3) / 2

To simplify this expression, we can simplify the square root of 3. The square root of 3 is an irrational number, approximately equal to 1.732.

Height ≈ (6 * 1.732) / 2
Height ≈ 10.392 / 2
Height ≈ 5.196

So, the height of an equilateral triangle with a side length of 6 is approximately 5.196 units.