Question

Nick has a square sheet of paper 15 centimeters on a side. He folds the paper along the diagonal and makes a triangle. Find the length of the hypotenuse of this triangle. (JUSTIFY)

Answer 1

15 root 2

Explanation:

using pythgreom theroy 15 squared plus 15 squared = 450 which simplifies to 15 root

Answer 2

`Hypotenuse=15√(2)\ cm` ≈
`21.21\ cm`

Explanation:

You need to use the Pythagorean Theorem:

`a^2=b^2+c^2`

Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle.

Since the sheet of paper was an square, then:

`b=15\ cm\\\\c=15\ cm`

Knowing this, you can substitute values into
`a^2=b^2+c^2` and solve for "a":

`a^2=(15\ cm)^2+(15\ cm)^2\\\\a=√((15cm)^2+(15cm)^2)\\\\a=15√(2)\ cm`

`a` ≈
`21.21\ cm`