[tex]\text{Hello there!}\\\\\text{We would use the Pythagorean theorem to find the length of the unknown side}\\\\\text{Pythagorean theorem:}\\\\a^2+b^2=c^2\\\\\text{a = 20; c = 52}\\\text{c is the hypotenus and a is one of the side length}\\\\20^2+b^2=52^2\\\\\text{Solve:}\\\\20^2+b^2=52^2\\\\400+b^2=2704\\\\b^2=2304\\\\\sqrt{b}=\sqrt{2304}\\\\\large\boxed{b=48}[/tex]
