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QuizMultiple Choice

Pythagorean Theorem — Test

Question 1 • Foundations of Math 1

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? Choose three correct answers. Fabric 1 length: 5 cm width: 12 cm diagonal: 13 cm Fabric 2 length: 8 cm width: 6 cm diagonal: 10 cm Fabric 3 length: 4 cm width: 5 cm diagonal: 6 cm Fabric 4 length: 10 cm width: 8 cm diagonal: 12 cm Fabric 5 length: 6 cm width: 4 cm diagonal: 8 cm Fabric 6 length: 8 cm width: 15 cm diagonal: 17 cm

Answer
A
Fabric 1
B
Fabric 2
C
Fabric 3
D
Fabric 4
E
Fabric 5
F
Fabric 6

Explanation

For a rectangle, the length, width, and diagonal must satisfy the Pythagorean theorem: length² + width² = diagonal². Fabric 1 works because 5² + 12² = 13², Fabric 2 because 8² + 6² = 10², and Fabric 6 because 8² + 15² = 17². The other fabrics’ measurements do not satisfy this rule, so the correct pieces are Fabric 1, Fabric 2, and Fabric 6.

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