A square sheet of paper with sides 24 cm is cut and an equilateral triangle is created using it. What are the sides of the triangle.
The square piece of paper has sides of 24 cm. This gives its area as 24*24 = 576 cm^2. The square is cut and the paper used to create an equilateral triangle. The area of an equilateral triangle with sides equal to a is A = `sqrt 3/4*a^2`
576 = `sqrt 3/4*a^2`
=> a^2 = `(576*4)/sqrt 3`
=> a = `sqrt((576*4)/sqrt 3)`
=> a `~~36.47 cm`
The sides of the equilateral triangle created are approximately 36.47 cm.