Question

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?
Can you help me please?


A. 34 √ 2 inches
B. 17 √ 3 inches
C. 17 √ 2inches * my answer* is it correct?
D. 13 inches

Answer 1

To find the side length of each triangular quilt piece, you can use the Pythagorean theorem since the triangle is a right triangle.

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 = sqrt(578) = 17√2 inches

Therefore, the side length of each piece is 17√2 inches. So, the correct answer is C. 17√2 inches.