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3 July, 12:22

If the perimeter of an equilateral triangle is 30 ft, what is the area?

25√2 sq. ft.

25√3 sq. ft.

50√3 sq. ft.

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  1. 3 July, 12:35
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    Divide the perimeter by 3 to find the side length.

    Since the formula for the are of a triangle is

    1/2 * b * h the height must be found.

    If a perpendicular line is drawn from the apex of the triangle, a right triangle is formed with a base of 5 and a hypotenuse of 10. Also since it originally was equilateral the base angle is 60 degrees. The rules for finding lengths of sides of equal. Triangles is long leg = sqrt3 * short leg

    the height is the long leg so the height is 5sqrt3.

    A = (1/2) (10) (5sqrt3) = 25sqrt3
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