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

Answer:

$Hypotenuse=15\sqrt{2}\ cm$ ≈ $21.21\ cm$

Step-by-step 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":

$a^2=(15\ cm)^2+(15\ cm)^2\\\\a=\sqrt{(15cm)^2+(15cm)^2}\\\\a=15\sqrt{2}\ cm$

$a$ ≈ $21.21\ cm$

Answer 2

Answer:

15 root 2

Step-by-step explanation:

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