The Number System Unit Test
Math 8 Q1 (Pre-Algebra) / The Number System
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?(1 point)
The height of an equilateral triangle equals 3√2 times the side length.
Given:
Square root of 3 ( √3) = 74
Side length of the equilateral triangle = 8 meters
To find the height of the equilateral triangle, we can substitute the given values into the formula:
Height = 3√2 * side length
Height = 3 * 74 * 8
= 222 * 8
= 1776
Therefore, the approximate height in meters of an equilateral triangle with a side length of 8 meters is 1776 meters.
To find the height, we can use the formula for the height of an equilateral triangle, which is:
Height = side length * √3
Given that the side length is 8 meters and we are using 74 for the square root of 3, we can substitute these values into the formula:
Height = 8 * √3
Let's calculate the value of √3 using the given approximation:
√3 ≈ 74
Now we can substitute this value into the equation:
Height ≈ 8 * 74
Calculating this:
Height ≈ 592 meters
Therefore, the approximate height of the equilateral triangle with a side length of 8 meters is 592 meters.