0. Review of College Algebra

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?

Which of the following correctly lists the types of triangles based on their sides and angles?

Fill in the blank(s) to correctly complete each sentence.

An equilateral triangle has _________________ equal sides.

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

Which of the following statements is true regarding the Pythagorean Theorem?

A right triangle has legs of length $12$ ft and $35$ ft. Which is the length of the hypotenuse of the triangle?

Which of the following is a correct Pythagorean identity in trigonometry?

Which of the following Pythagorean identities is correct?

Fill in the blank(s) to correctly complete each sentence.

The sum of the measures of the angles of any triangle is ________________ .

Fill in the blank(s) to correctly complete each sentence.

An isosceles right triangle has one ________________ angle and ______________ equal sides.

Find the measure of each marked angle. In Exercises 19–22, m and n are parallel.

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