Recall that in a right triangle we can use the Pythagorean theorem:
[tex]c^2=a^2+b^2,[/tex]where a and b are the lengths of the legs and c is the length of the hypotenuse.
Now, the given triangle has legs of length 5 and 2, therefore:
[tex]c^2=5^2+2^2=25+4=29.[/tex]Solving the above equation for c we get:
[tex]c=\sqrt[]{29}.[/tex]Answer:
[tex]\sqrt[]{29}.[/tex]