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?
(1 point)
A.34sqrt(2) inches
B.sqrt(3) inches
C. 7sqrt(2) inches
D.13 inches
We can use the Pythagorean theorem to solve this problem. Let the side length of the quilt pieces be x inches.
The hypotenuse of the triangle is 34 inches and the other two sides are x inches. Using the Pythagorean theorem, we have:
x^2 + x^2 = 34^2
2x^2 = 1156
x^2 = 578
x = sqrt(578)
Thus, the side length of each piece is sqrt(578) inches, which is closest to 24.078 inches.
None of the given answer choices match the calculated value.