Given the cost of glass per square foot, the cost for the replacement of the triangular shaped window glass is 1826.77$.
What is a Triangle?
A triangle is simply a polygon with three vertices, three side and three sides.
An equilateral triangle is of triangle with all its three sides equal in length.
There area of an equilateral triangle is expressed as;
A = (√3/4) × a²
Where a is the length of the sides.
Given the data in the question;
- Length of the side of the equilateral triangle a = 15ft
- Cost of glass per square foot C = $18.75 per ft²
- Cost of window replacement CoW = ?
First we determine the area of the window which is in the shape of an equilateral triangle.
A = (√3/4) × a²
A = (√3/4) × (15ft)²
A = (√3/4) × 225ft²
A = 97.4279ft²
Now, cost of window replacement will be the area of the window multiplied by the cost of glass per square foot.
CoW = A × C
CoW = 97.4279ft² × $18.75 per ft²
CoW = 1826.77$
Therefore, given the cost of glass per square foot, the cost for the replacement of the triangular shaped window glass is 1826.77$.
Learn more about area of triangles here: https://brainly.com/question/19305981
