0. Review of College Algebra

Given a triangle with side lengths $5$, $7$, and $10$, which type of triangle is it?

Which geometric construction can be used to prove the $\mathrm{Pythagorean} \mathrm{Theorem}$ by using the similarity of triangles?

Which of the following sets of side lengths can form a right triangle according to the $\mathrm{Pythagorean} \mathrm{Theorem}$?

What is the length of the hypotenuse of a right triangle with legs measuring $7$ inches and $8$ inches?

Which of the following sets of side lengths forms a $\mathrm{Pythagorean} \mathrm{triple}$?