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?
To find the height of an equilateral triangle, we can use the formula:
height = (√3/2) * side length.
Given that the square root of 3 is approximately 7/4, we can substitute this value into the formula:
height = (7/4 * 1/2) * 8 = 7/4 * 4 = 7 meters.
Therefore, the approximate height of an equilateral triangle with a side length of 8 meters is 7 meters.
To find the approximate height of the equilateral triangle, we need to multiply the side length by √3/2. Given that the square root of 3 is approximately 7/4, we can substitute this value into the equation.
Approximate height = (√3/2) × side length
≈ (7/4) × 8
Let's calculate this:
≈ (7 × 8) / 4
≈ 56/4
≈ 14
Therefore, the approximate height of the equilateral triangle with a side length of 8 meters is approximately 14 meters.
To find the approximate height of an equilateral triangle with a given side length, we can use the formula that states the height equals √3/2 times the side length.
Given that the square root of 3 is approximately 7/4, we can proceed with the calculation.
Step 1: Substitute the values into the formula.
Height = (√3/2) * side length
Step 2: Replace the square root of 3 with its approximate value.
Height = (7/4 * 1/2) * side length
Step 3: Simplify the expression.
Height = (7/8) * side length
Step 4: Substitute the given side length.
Height = (7/8) * 8 meters
Step 5: Simplify the expression further.
Height = 7 meters
Therefore, the approximate height of an equilateral triangle with a side length of 8 meters is 7 meters.