How to find Area of an Equilateral Triangle if its Perimeter is given
QUESTION: If the perimeter of an equilateral triangle is 30 cm, what is its area?
SOLUTION:
Equilateral triangles are those triangles whose all sides have same length.
Formula of Area of an Equilateral Triangle = `frac{sqrt3}4(s)^2`———(1)
where `s` is the length of each side of an Equilateral Triangle.
Here,
Perimeter of an Equilateral Triangle = 30 cm
Then
Length of each side of this triangle = `s` = `frac{30}3`⇒10 cm
Put this value of `s` in equation (1) to find area
Area of an equilateral triangle = `frac{sqrt3}4(10)^2`
= 43.3 cm²
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