4.) Quilt squares are cut on the diagonal to form triangular quilt pieces. The hypotenuse of the resulting triangles is 28 inches long. What is the side length of each piece? (1 point)
The side length of each piece can be found using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
Let the side length of each piece be x inches. Then, applying the Pythagorean theorem:
x^2 + x^2 = 28^2
2x^2 = 784
x^2 = 392
x = √392
x ≈ 19.79 inches
Therefore, the side length of each quilt piece is approximately 19.79 inches.