Question
A piece of art is in the shape of
an equilateral triangle with sides
of 13 in. What is the area of the
piece of art to the nearest tenth?
(1 point)
146.4 in.2
73.2 in.2
59.8 in.2
119.5 in.2
an equilateral triangle with sides
of 13 in. What is the area of the
piece of art to the nearest tenth?
(1 point)
146.4 in.2
73.2 in.2
59.8 in.2
119.5 in.2
Answers
GPT 3.5
To find the area of an equilateral triangle, you can use the formula: Area = (sqrt(3) / 4) * side length^2
In this case, the side length is 13 inches. Plugging this into the formula:
Area = (sqrt(3) / 4) * 13^2
Area = (1.732 / 4) * 169
Area = 0.433 * 169
Area = 73.277 in^2
Rounded to the nearest tenth, the area of the piece of art is 73.3 in^2.
Therefore, the correct answer is 73.2 in^2.
In this case, the side length is 13 inches. Plugging this into the formula:
Area = (sqrt(3) / 4) * 13^2
Area = (1.732 / 4) * 169
Area = 0.433 * 169
Area = 73.277 in^2
Rounded to the nearest tenth, the area of the piece of art is 73.3 in^2.
Therefore, the correct answer is 73.2 in^2.