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A piece of art is in the shape of a equilateral triangle with sides of 17 in what is the area of the piece of art to the nearest tenth

Respuesta :

The answer is 125.1 in.^2.

I used a calculator to determine the height of the triangle and then used the formula to find the area of a triangle, 1/2*base*height.

The area of the piece of art in the shape of an equilateral triangle to the nearest tenth is 125.1in².

What is a triangle?

A triangle is simply a two-dimensional polygon with 3 sides and 3 interior angles.

An equilateral triangle is a triangle with all its 3 sides equal in dimension.

The area of an equilateral triangle is expressed as;

A = ((√3)/4)a²

Where a is the dimension of the side of the triangle.

Given that;

  • Dimension of side a = 17in
  • Area of the equilateral triangle A = ?

A = ((√3)/4)a²

A = ((√3)/4) × (17in)²

A = ((√3)/4) × 289in²

A = 125.1in²

Therefore, the area of the piece of art in the shape of an equilateral triangle to the nearest tenth is 125.1in².

Learn more about area of triangles here: brainly.com/question/19305981

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