Unit 5 Exam Review

Which of the following correctly describes the Pythagorean theorem?

• The sum of the lengths of the legs of a right triangle is equal to the length of the hypotenuse.

• The sum of the squares of the lengths of the legs of a right triangle is equal to the square of the length of the hypotenuse.

• The product of the lengths of the legs of a right triangle is equal to the length of the hypotenuse.

• The product of the squares of the lengths of the legs of a right triangle is equal to the square of the length of the hypotenuse.

The ladder forms a right triangle with legs 5 feet and 12 feet. How long is the ladder?

• 17 feet

• 13 feet

• 11 feet

• 19 feet

If DE = 20 feet, DG = 10 feet, and m∠E = 60°, what is the length of EF?

• 20/3 √3 ft

• 10√3 ft

• 20 ft

• 10√3 ft

If the length of a diagonal of a square is 8 feet, what is the length of a side of the square?

• √8 ft

• 4√2 ft

• 8 ft

• 48 ft

How many centimeters long is a leg of an isosceles right triangle if its hypotenuse has a length of 16√2 centimeters?

• 8 cm

• 16 cm

• 4 cm

• 12 cm

The perimeter of the triangle below can be expressed as (16 + k√2) cm. What is the value of k?

• 8

• 16

• 32

• 64

• 7 centimeters

• 15 centimeters

What is the value of the cosine of angle ∠TRS?

• 2.4

• 0.92

• 0.41

• 0.39

A right triangle is shown below. Which ratio gives the sine of ∠P?