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)

1 answer

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.