What is the area, rounded to the nearest tenth of square inch, of an equilateral triangle that has a perimeter of 24 inches?

Perimeter = sum of all side lengths. In equilateral triangles the sides are all equal in length. So, one side = perimeter/3.

24 = 3x

x = 8in

To find the area:

A = (1/2) base * hieght

A = (1/2) 8*6.93

A = 4 * 6.93

Area ≈ 27.71 in²

Answer:

The area is about 27.72 inches squared.

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