Question

The height of an equilateral triangle equals 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 12 meters?

Answer 1

21 meters

Explanation:

Given that the height of an equilateral triangle is

3

2

2

3

times the side length, and you're using

7

4

4

7

​

for the square root of 3, you can calculate the height as follows:

Height =

7

4

×

side length

4

7

×side length

Given the side length is 12 meters:

Height =

7

4

×

12

4

7

×12 meters

Height =

84

4

4

84

meters

Height = 21 meters

So, the approximate height of the equilateral triangle is 21 meters.