Question 363809: An equilateral triangle has the same area as a square.Express the perimeter of the triangle as a fraction of the perimeter of the square. Answer by amoresroy(361) (Show Source):
You can put this solution on YOUR website! Square Triangle Explaination
Side x
Area x^2 x^2
Perimeter 4x
Area of Square = Area of Equilateral Triangle
x^2 = b * h (where h = 3^^1/2 b)
= 3^1/2 b^2
x = 1.316 b
b = .76x
Perimeter of Triangle = 6b
= 6(.76) x
= 4.559 x
Perimeter of Triangle as a function of Perimeter of Suare;
4.559 x / 4 x = 1.14
The perimeter of the equi triangle is 1.14 times the perimetrer of square
