Pythagorean Theorem and Right Triangle Mastery Quiz

Which of the following sets of numbers is a Pythagorean triple?

• 3, 4, 5

• 5, 7, 9

• 6, 8, 10

• 2, 3, 4

Tags

CCSS.8.G.B.8

If one leg of a right triangle is 8 units long and the hypotenuse is 17 units long, what is the length of the other leg?

• 9 units

• 15 units

• 64 units

• 25 units

Tags

CCSS.8.G.B.7

Using the Pythagorean theorem, solve for the hypotenuse of a right triangle if one leg is 6 units and the other leg is 8 units.

• 10 units

• 14 units

• 12 units

• 16 units

Tags

CCSS.8.G.B.7

A rectangle has a length of 15 units and a width of 20 units. What is the length of the diagonal?

• 25 units

• 35 units

• 30 units

• 40 units

Tags

CCSS.8.G.B.7

Which of the following is NOT a Pythagorean triple?

• 7, 24, 25

• 8, 15, 17

• 9, 40, 41

• 10, 20, 30

Tags

CCSS.8.G.B.8

How can the Pythagorean theorem be used to calculate the area of a rectangle, if you have the diagonal and one leg?

• By adding the length of the diagonal and the leg together

• It cannot be directly used to calculate the area of a rectangle

• By squaring the diagonal's length

• By solving for the other leg and multiplying the lengths of the two legs

Tags

CCSS.8.G.B.8

If the hypotenuse of a right triangle is 13 units and one of the legs is 5 units, what is the length of the other leg?

• 12 units

• 10 units

• 8 units

• 14 units

Tags

CCSS.8.G.B.7

A ladder is leaning against a wall, reaching a height of 12 feet. If the base of the ladder is 5 feet away from the wall, how long is the ladder?

• 13 feet

• 12 feet

• 17 feet

• 10 feet

Tags

CCSS.8.G.B.8

Which of the following equations represents the Pythagorean theorem?

Tags

CCSS.8.G.B.8

A right triangle has legs of 9 units and 12 units. What is the area of this triangle?

• 54 square units

• 108 square units

• 36 square units

• 72 square units

Tags

CCSS.6.G.A.1