Question
Find the area of the equilateral triangle if a side is 8squared3 m. Round to the nearest whole number.
55 m2
83 m2
28 m2
67 m2
Answers
GPT 3.5
The area of an equilateral triangle can be calculated using the formula: (s^2 * sqrt(3))/4, where s is the length of a side.
In this case, the side of the triangle is 8√3 m. Plugging this into the formula:
Area = (8√3)^2 * √3 / 4
Area = 64 * 3 * √3 / 4
Area = 192√3 / 4
Area = 48√3
Rounding to the nearest whole number, the area is approximately 83 m2.
Therefore, the correct answer is 83 m2.
In this case, the side of the triangle is 8√3 m. Plugging this into the formula:
Area = (8√3)^2 * √3 / 4
Area = 64 * 3 * √3 / 4
Area = 192√3 / 4
Area = 48√3
Rounding to the nearest whole number, the area is approximately 83 m2.
Therefore, the correct answer is 83 m2.