Since each triangular quilt piece is a right triangle, we can use the Pythagorean theorem to find the length of one of its legs.
Let x be the length of one leg of the triangle. Then we have:
x^2 + x^2 = 28^2
Simplifying and solving for x, we get:
2x^2 = 784
x^2 = 392
x = sqrt(392) = 14*sqrt(2)
Therefore, the side length of each triangular quilt piece is 14*sqrt(2) inches, which is option B.
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?
A. 14 inches
B. 14√2 inches
C. 14√3 inches D. 28√2 inches
1 answer
1 answer