Area of equilateral triangle
(s²√3)/(4)
The formula for the area of an equilateral triangle is (sqrt(3)/4)*s^2, where s is the length of one side of the equilateral triangle. To find the area, we need to know the value of s.
If we are not given the length of a side, we can use the fact that all sides are equal in an equilateral triangle. Let’s say the length of a side is x.
Using the formula, we can find the area as:
Area = (sqrt(3)/4)*x^2
For example, if the length of a side is 4 cm, then:
Area = (sqrt(3)/4)*4^2
Area = (sqrt(3)/4)*16
Area = 4sqrt(3)
Therefore, the area of an equilateral triangle with a side of length 4 cm is 4sqrt(3) square cm.
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