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At the beginning of the lesson, Jacob determined that there was a problem with the sail length measurements of 7.5 meters, 4.8 meters, and 2.5 meters. Explain how Jacob was able to determine there was a problem with the specifications of the triangular sail.

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Answer:

Jacob was able to determine there was a problem with the specifications of the triangular sail because of the Pythagorean theorem.

Step-by-step explanation:

Assume the triangular sail is a right triangle.

The Pythagorean theorem says: [tex]A^{2} + B^{2} = C^{2}[/tex]

If A = 4.8, B = 2.5, and C = 7.5, then [tex]4.8^{2} + 2.5^{2} = 7.5^{2}[/tex].

[tex]4.8^{2} + 2.5^{2} = 23.04 + 6.25 = 29.29[/tex]

[tex]7.5^{2} = 56.25[/tex]

In conclusion, [tex]29.29 \neq 56.25[/tex], so there is a problem with the sail.

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