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Based on the type of triangle that will be formed, the greatest area the window can be is 21.22 feet.
The triangle with the largest perimeter of all triangles is the Equilateral triangle.
If this is an equilateral triangle, each side would measure:
y = 21 / 3 sides
y = 7 feet
The greatest area can be found by the area of an equilateral triangle which is:
= ((√3) / 4) x y²
Solving gives:
= ((√3) / 4) x 7²
= 21.22 feet
Find out more on equilateral triangles at https://brainly.com/question/17264112.