Answer:
[tex]Hypotenuse=15\sqrt{2}\ cm[/tex] ≈ [tex]21.21\ cm[/tex]
Step-by-step explanation:
You need to use the Pythagorean Theorem:
[tex]a^2=b^2+c^2[/tex]
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:
[tex]b=15\ cm\\\\c=15\ cm[/tex]
Knowing this, you can substitute values into [tex]a^2=b^2+c^2[/tex] and solve for "a":
[tex]a^2=(15\ cm)^2+(15\ cm)^2\\\\a=\sqrt{(15cm)^2+(15cm)^2}\\\\a=15\sqrt{2}\ cm[/tex]
[tex]a[/tex] ≈ [tex]21.21\ cm[/tex]
