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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