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?
explain how 7 m is the correct answer
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.
To find the height of an equilateral triangle, we can use the formula:
height = (√3/2) * side length
Given that the side length is 8 meters, and using the approximation of 7/4 for the square root of 3, we can substitute the values into the formula:
height = (7/4) * 8
Simplifying the expression, we have:
height = 7 * 2
height = 14 meters
Therefore, the approximate height of an equilateral triangle with a side length of 8 meters is 14 meters. Thus, the answer is not 7 meters.