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Phyllis bought 21 feet of wood to frame a window. If she makes a triangular window, what is the greatest area the window can have?

For a given perimeter, the triangle with the largest perimeter is

triangle. Using this type of triangle, the sides would

measure

y. So, the greatest area the window could be is about

square feet

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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.

What is the greatest area the window can be?

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.

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