Makahanap ng mabilis at maaasahang mga solusyon sa iyong mga problema sa IDNStudy.com. Makakuha ng mga kumpletong sagot sa lahat ng iyong mga tanong mula sa aming network ng mga eksperto.

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 :

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.

#keeplearningatmath

#mathiseasy