Question

The area of an equilateral triangle is 187 centimeters squared.

Question
What is the approximate length of a side of the triangle?

Answer 1

To find the approximate length of a side of the equilateral triangle, we can use the formula for the area of an equilateral triangle:

Area = (sqrt(3)/4) * s^2

where s is the length of a side of the triangle.

Let's solve the formula for s:

187 = (sqrt(3)/4) * s^2

Multiply both sides by 4/sqrt(3):

4 * 187 / sqrt(3) = s^2

Simplify the left side:

748 / sqrt(3) = s^2

Now, take the square root of both sides to find s:

s = sqrt(748 / sqrt(3))

Using a calculator, we can approximate this value:

s ≈ 19.331 centimeters

Therefore, the approximate length of a side of the equilateral triangle is 19.331 centimeters.