A piece of art is in the shape of an equilateral triangle with sides of 17 in. What is the area of the piece of art to the nearest tenth?

1 answer

The area of an equilateral triangle with sides of length 'a' is given by the formula:

A = (sqrt(3) / 4) * a^2

Substituting a = 17, we get:

A = (sqrt(3) / 4) * 17^2 = 133.257...

Rounding this to the nearest tenth, we get:

A ≈ 133.3 square inches.

Therefore, the area of the piece of art to the nearest tenth is approximately 133.3 square inches.