Quilt squares are cut on the diagonal to form triangular quilt pieces. The hypotenuse of the resulting triangle is 34 in. long. What is the side length of each piece?
A. 34√2 Inches
B. 17√3 Inches
C. 17√2 Inches
D. 13 Inches
B. 17√3 Inches
The side length of each piece can be found using the Pythagorean theorem.
Let x be the side length of each piece.
Using the Pythagorean theorem:
x^2 + x^2 = 34^2
2x^2 = 1156
x^2 = 578
x = √578
x = √(289 * 2)
x = 17√2
Therefore, the side length of each piece is 17√2 inches.