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Answered

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A square-shaped handkerchief measures 18 inches on each side. You fold it along it's diagonal so you can tie it around your neck. How long is the tie?

1. Provide illustration of the problem.
2. Show complete solution.
3. Present final answer in sentence form.​

Sagot :

Mayuyojesteridn

Answer:

18√2 or 25.46 inches.

Step-by-step explanation:

  • the hypotenuse of a triangle is legs times √2 or L√2.
  • we get

[tex]l = 18 \\ hyp = l \sqrt{2} \\ 18 \sqrt{2} \\ 25.46[/tex]

using pythagorean theorem we get:

[tex] {c}^{2} = {a}^{2} + {b}^{2} \\ {c}^{2} = {18}^{2} + {18}^{2} \\ {c}^{2} = 324 + 324 \\ \sqrt{ {c}^{2} } = \sqrt{648} \\ c = 25.46[/tex]

therefore, the length of the tie is 25.46 inches.

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