The height of an equilateral triangle equals squre root 3/2 tiems the side length. using 7/4for the square root of 3 what is the aproximate height in meters of an equilateral triangle with a side length of 8 meters

Answer 1

To calculate the height of an equilateral triangle, you can use the given formula:

\[ \text{Height} = \frac{\sqrt{3}}{2} \times \text{side length} \]

Given that the side length is 8 meters and using \(\frac{7}{4}\) as an approximation for \(\sqrt{3}\), we can substitute these values into the formula:

1. Substitute the values into the formula: \[ \text{Height} \approx \frac{7}{4} \times \frac{1}{2} \times 8 \]

2. Simplify the expression step by step: \[ \text{Height} \approx \frac{7 \times 8}{4 \times 2} \] \[ \text{Height} \approx \frac{56}{8} \] \[ \text{Height} \approx 7 \text{ meters} \]

Thus, the approximate height of the equilateral triangle with a side length of 8 meters is 7 meters.