Question

In a right triangle, if the length of the hypotenuse is 52 and the length of one of the other sides is 20, what is the length of the third side ?

Answer 1

`\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\\\\√(b)=√(2304)\\\\\large\boxed{b=48}`