Quilt squares are cut on the diagonal to form triangular quilt pieces. The hypotenuse of the resulting triangles is 28 inches long. What is
the side length of each piece? (1 point)
14 314√3inches – √
14 inches
28 228√2inches – √
14 214√2inches
3 answers
14 inches
14in is not it
The side length of each piece can be found by using the Pythagorean theorem.
Let x be the side length of each piece. The hypotenuse of the triangle is 28 inches long.
Using the Pythagorean theorem:
x^2 + x^2 = 28^2
2x^2 = 784
x^2 = 392
x = sqrt(392)
x = 14√2 inches
Therefore, the side length of each piece is 14√2 inches.
Let x be the side length of each piece. The hypotenuse of the triangle is 28 inches long.
Using the Pythagorean theorem:
x^2 + x^2 = 28^2
2x^2 = 784
x^2 = 392
x = sqrt(392)
x = 14√2 inches
Therefore, the side length of each piece is 14√2 inches.