The height of an equilateral triangle equals 3√/2

Question

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?(1 point)
m

Answer 1

To find the height of an equilateral triangle with a given side length, you can use the formula:

\[ \text{Height} = \frac{\sqrt{3}}{2} \times \text{Side Length} \]

Given that the square root of 3 is approximated as \( \frac{7}{4} \), you can substitute this into the formula. For a side length of 8 meters:

\[ \text{Height} = \frac{7}{4} \times \frac{1}{2} \times 8 \]

Calculating step-by-step:

1. Calculate \( \frac{1}{2} \times 8 \):

   \[ \frac{1}{2} \times 8 = 4 \]

2. Now, multiply by \( \frac{7}{4} \):

   \[ \text{Height} = \frac{7}{4} \times 4 = 7 \]

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

\[ \text{Height} \approx 7 \text{ meters} \]