Jordan purchased a piece of fabric that is 18cm by 18cm in order to make a tent for her little sister's dolls
. She plans to fold the fabric in half diagonally to create a triangular roof for the tent. The length of the diagonal is:
Using the Pythagorean theorem, we can find the length of the diagonal:
a^2 + b^2 = c^2 (where a and b are the sides of the square, and c is the diagonal)
18^2 + 18^2 = c^2
324 + 324 = c^2
648 = c^2
c = √648
c ≈ 25.455
So the length of the diagonal of the fabric is approximately 25.455cm.