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AssignmentMultiple Choice

Changes in Period and Phase Shift of Sine and Cosine Functions

Question 1 • AZ-Common Core Algebra II B

Max has sticks of lengths 6, 7, 8, and 10 inches. He wants to make a right triangle for an art project. Which 3 sticks should he use?

Answer
A
6 in., 7 in., and 8 in.
B
6 in., 7 in., and 10 in.
C
6 in., 8 in., and 10 in.
D
7 in., 8 in., and 10 in.

Explanation

For a right triangle, the squares of the two shorter sides must add to the square of the longest side. With 6, 8, and 10 inches, 6² + 8² = 36 + 64 = 100, and 10² = 100. So Max should use the 6-inch, 8-inch, and 10-inch sticks.

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