0. Review of College Algebra

If $\mathrm{CD}$ is an altitude to the hypotenuse $\mathrm{AB}$ of right triangle $\mathrm{ABC}$ (with right angle at $C$), which statement is necessarily true?

Which type of triangle is required for the Pythagorean Theorem to apply, as shown in the figure below?

Based on Pythagorean identities, which equation is true?

When finding the length of the hypotenuse of a right triangle with legs of lengths $a$ and $b$, which formula should you use?

In a regular pentagon, what is the sum of any two of its interior angles?

Which of the following sets of side lengths can form a right triangle?

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

A right triangle has legs of length $18$ units and $24$ units. What is the length of the hypotenuse of the triangle?

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

Which of the following best describes what is unique about Pythagorean triples?

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

Which of the following sets of numbers could represent the three sides of a right triangle?

Given a triangle with side lengths $3$, $4$, and $5$, which best describes the triangle?

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

Given a right triangle $a\text{'}b\text{'}c\text{'}$ with side lengths $a\text{'}$ = $5$ cm, $b\text{'}$ = $12$ cm, and $c\text{'}$ = $13$ cm, what is the perimeter of the triangle?