We are given a right triangle with legs measuring 12 and 5 units long.
We are tasked to find the length of its hypotenuse.
To solve this, we will be using the Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
where a and b are the legs and c is the hypotenuse.
Substituting the given values, we get:
[tex]\begin{gathered} 12^2+5^2=c^2 \\ 144+25=c^2 \\ 169=c^2 \\ 13=c \end{gathered}[/tex]
Therefore, the answer is 13.
