the perimeter of an equilateral triange is 60m. what is its area??
If perimeter of an equ.triangle is 60m.then it's side =20m each.=>altitude = 17.32 《pythagorus theorum》:. area= (10×17.2) 《(20/2)=10》:. area= 172. (approx) That's all.
the perimeter of an equilateral triange is 60m. what is its area??
Perimeter of an Equilateral Triangle:
The perimeter of any polygon is defined as the sum of the lengths of all its sides. In the case of an equilateral triangle, all three sides are equal in length. Let's assume the length of each side of the equilateral triangle is 's'. Therefore, the perimeter (P) of the triangle can be calculated as:
P = s + s + s
P = 3s
Given that the perimeter of the equilateral triangle is 60m, we can substitute this value into the equation:
60 = 3s
Finding the Length of Each Side:
To find the length of each side (s), we can rearrange the equation:
3s = 60
s = 60/3
s = 20
Therefore, each side of the equilateral triangle is 20m.
Calculating the Area:
The area of an equilateral triangle can be calculated using the formula:
Area = (sqrt(3) / 4) * s^2
Substituting the value of s, which is 20m, into the formula:
Area = (sqrt(3) / 4) * 20^2
Area = (sqrt(3) / 4) * 400
Area = (1.732 / 4) * 400
Area = 0.433 * 400
Area = 173.2
Thus, the area of the equilateral triangle is 173.2 square meters.
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