Nadine is making a quilt. She can use a rectangle of any length and width, as long as the angles in the shape are right angles. Which pieces of fabric can Nadine use in the quilt? Check all that apply. Fabric 1length: 5 cmwidth: 12 cmdiagonal: 13 cmFabric 2length: 8 cmwidth: 6 cmdiagonal: 10 cmFabric 3length: 4 cmwidth: 5 cmdiagonal: 6 cmFabric 4length: 10 cmwidth: 8 cmdiagonal: 12 cmFabric 5length: 6 cmwidth: 4 cmdiagonal: 8 cmFabric 6length: 8 cmwidth: 15 cmdiagonal: 17 cm
For a rectangle, the length, width, and diagonal must satisfy the Pythagorean theorem: length² + width² = diagonal². Fabric 1 works because 5² + 12² = 13², and Fabric 2 works because 8² + 6² = 10². Fabric 6 works because 8² + 15² = 17²; the other fabrics do not satisfy the equation.
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