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

Answer 1

To find the side length of each piece, we need to use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).

Let x be the side length of each triangular quilt piece.

Using the Pythagorean theorem, we have:

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

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