Answer:
13 cm
Step-by-step explanation:
We can use the Pythagorean Theorem to find the length of the hypotenuse. The Pythagorean Theorem is used to find a missing side to a right triangle.
The theorem states that [tex]a^2 + b^2 = c^2[/tex], where a and b are the legs, and c is the hypotenuse.
The legs of this triangle are already states - 5 and 12, so we can plug it's values into the formula.
[tex]5^2 + 12^2 = c^2\\\\25 + 144 = c^2\\\\169 = c^2\\\\c = \sqrt{169}\\\\c=13[/tex]
So the hypotenuse of this triangle is 13 cm.
Hope this helped!