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?

Question

explain how 7 m is the correct answer

Answer 1

To find the height of an equilateral triangle, you multiply the square root of 3/2 by the side length.

Given that the square root of 3/2 is approximately 7/4, we can substitute this value into the formula.

Height = (√3/2) * Side Length

= (7/4) * 8

= 56/4

= 14

Hence, the approximate height of the equilateral triangle is 14 meters.

It is important to note that the square root of 3/2 is not exactly 7/4, but for the purpose of this approximation, we can use these values. The exact value of the square root of 3/2 is an irrational number and cannot be expressed precisely as a fraction.