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?
To find the side length of each triangular quilt piece, we can use the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
Let x be the side length of each piece. Then, we can set up the following equation:
x^2 + x^2 = 28^2
2x^2 = 784
x^2 = 392
x = √392
x ≈ 19.80 inches
So, the side length of each piece is approximately 19.80 inches.