The height of an equilateral triangle equals 3√2 times the side length. Using 74 for the square root of 3, what is the approximate height in meters of an equilateral triangle with a side length of 8 meters?.
First, calculate the height of the equilateral triangle:
Height = (3√2) * side length
Height = (3*74) * 8
Height = 222 * 8
Height = 1776
So, the approximate height of an equilateral triangle with a side length of 8 meters is 1776 meters.
To find the approximate height of an equilateral triangle with a side length of 8 meters, we can use the formula given, which states that the height of an equilateral triangle is equal to 3√2 times the side length.
Given that √3 is approximately 74, we can substitute this value into the formula and calculate the height as follows:
Height = 3√2 × Side Length
= 3 × 74 × 2 × 8
≈ 444 × 8
≈ 3552
Therefore, the approximate height of the equilateral triangle with a side length of 8 meters is 3552 meters.
To find the approximate height of an equilateral triangle with a given side length, you can use the formula "height = side length × √3 / 2".
First, let's substitute the given values into the formula:
Side length = 8 meters
√3 ≈ 1.732 (Approximating 74 as the square root of 3)
Now, plug these values into the formula:
Height = 8 meters × (1.732) / 2
Next, perform the calculation:
Height = 8 meters × 1.732 / 2
Height = 13.856 meters / 2
Height ≈ 6.93 meters
Therefore, the approximate height of the equilateral triangle with a side length of 8 meters is approximately 6.93 meters.