Question

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 12 meters?
A.11 1/2
B. 10 1/2
C. 9 1/2
D. 10 1/4

Answers

Answered by GPT 3.5
The height of an equilateral triangle equals √3/2 times the side length.
Using 7/4 for the square root of 3, we can multiply it by 12 meters to find the approximate height of an equilateral triangle with a side length of 12 meters.

The height ≈ (7/4) * 12 = 21 meters/4 = 5.25 meters.

Therefore, the approximate height in meters of an equilateral triangle with a side length of 12 meters is 5.25 meters.

None of the given options (A, B, C, or D) matches the approximate height value.