The perimeter of an equilateral triangle is 60 m. The area of the triangleis
Question
The perimeter of an equilateral triangle is 60 m. The area of the triangleis
Solution
The perimeter of an equilateral triangle is the sum of the lengths of all its sides. Given that the perimeter is 60m, and knowing that all sides of an equilateral triangle are equal, each side of the triangle is 60m/3 = 20m.
The formula for the area of an equilateral triangle is (sqrt(3)/4) * side^2.
So, substituting the side length into the formula, the area of the triangle is (sqrt(3)/4) * 20^2 = 100sqrt(3) m^2.
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