To find the side lengths of a right triangle, we can use the Pythagorean Theorem, a² + b² = c². a and b are the legs, and c is the hypotenuse, the longest side. In this figure, x is the hypotenuse, c.
Plug in our values for a and b and solve for x.
=
c, or x is equal to 25. The missing sidelength is 25 units.
At x miles per day, Santiago will walk 36x miles in 36 days. He wants the total of that distance and the 437 miles he's already walked to be at least 500: