What is the height of an equilateral triangle with a side length of 6
a^2 + b^2 = c^2
3^2 + b^2 = 6^2
b^2 = 27
b = 5.2
Is the height 5.2 then?
sqrt 27 :)
Thank you!
You are welcome.
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.