## Intermediate Algebra (6th Edition)

The unknown length is $5$ meters.
Let $c$ = length of the hypotenuse Use the Pythagorean theorem's formula $c^2=a^2+b^2$ where c= length of the hypotenuse, and a and b are the lengths of the legs of the righ triangle to have: $\\c^2=3^2+4^2 \\c^2=9+16 \\c^2=25 \\c = \sqrt{25} \\c=5$