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 $\mathrm{Pythagorean} \mathrm{triple}$?

What is the sum of the interior angles of a $19-\mathrm{gon}$?

In a right triangle, if one leg has length $3$ units and the other leg has length $4$ units, what is the length of the hypotenuse?

In a right triangle with legs of length $14$ and $48$, what is the length of the hypotenuse?

A right triangle has legs of length $6$ and $8$. What is the length of the hypotenuse?

A right triangle has legs of lengths $6$ units and $8$ units. What is the length of the hypotenuse? If necessary, round to the nearest tenth.

Which equation could be used to find the length of the hypotenuse in a right triangle with legs of lengths $a$ and $b$?

A ladder is leaning against a wall. The foot of the ladder is $6$ meters away from the wall, and the ladder reaches a height of $8$ meters on the wall. What is the length of the ladder?

Which type of triangle has $0$ reflectional symmetries?

A right triangle has legs of length $5$ units and $10$ units. What is the length of the hypotenuse?

Given three positive numbers, how can you determine if they form a Pythagorean triple?