Which set of numbers is always rational?

fractions

integers

positive numbers

decimals

3 answers

fractions
The height of an equilateral triangle equals √3/2 times the side length. Using 7/4 for the square root of 3, what is the approximate height in meters of an equilateral triangle with a side length of 8 meters?
To find the height of an equilateral triangle, we need to multiply the square root of 3 divided by 2 by the length of one side.

Given that we are using 7/4 as the approximate value for the square root of 3, we can substitute it into the formula:

Height = (7/4) * 8

Height = 7/4 * 8/1

Height = (7 * 8) / (4 * 1)

Height = 56 / 4

Height = 14 meters

Therefore, the approximate height of an equilateral triangle with a side length of 8 meters is 14 meters.