3. Quilt squares are cut on the diagonal to form triangular quilt pieces. The hypotenuse of the resulting triangles is 34 inches long. What is the side length of each piece?

To find the side length of each piece, we can use the Pythagorean Theorem.

Let x be the side length of each piece. Then, using the Pythagorean Theorem, we have:

x^2 + x^2 = 34^2
2x^2 = 1156
x^2 = 578
x = √578
x ≈ 24.04 inches

Therefore, the side length of each quilt piece is approximately 24.04 inches.