REVIEW Module 12 Pythagorean Theorem

Find the missing length.

Mathematical Equivalence

ON

A rectangle is 80 inches long. The diagonal is 100 inches. How wide is the rectangle?

HINT: Draw a rectangle.

• 60 inches

• 128.1 inches

• 20 inches

• 180 inches

• 13.4 inches

An isosceles right triangle legs are each 11 inches. How long is the hypotenuse? Round your answer to the nearest tenth.

Mathematical Equivalence

ON

The mast of a sailing ship is 24 ft. tall. A rope is stretched 26 ft from the top of the mast to a cleat on the deck of the ship. How far is the cleat from the base of the mast?

• 35.4 ft.

• 10 ft.

• 50 ft.

• 2 ft.

• 7.1 ft.

Kwan typically walks 28 yards south on Pine Street and 45 yards east on Maple Avenue to get to school. How much shorter would his walk be if he walked along the x, diagonal path?

• 53 yards

• 35.2 yards

• 73 yards

• 20 yards

• 17.8 yards

Kwan typically walks 28 yards south on Pine Street and 45 yards east on Maple Avenue to get to school.

If Kwan took his typical walk to school and then took the diagonal path home, what would the total distance be?

• 53 yards

• 73 yards

• 126 yards

• 20 yards

• 106 yards

What is the length of s?

• 26 cm

• 28.6 cm

• 21.8 cm

• 23.1 cm

• 46 cm

What is the length of diagonal r? (estimate to the nearest tenth)

• 26 cm

• 28.6 cm

• 21.8 cm

• 23.1 cm

• 46 cm

Which set of three numbers can be used to make a right triangle? Select all that apply.

• 3, 4, 5

• 4, 5, 6

• 5, 6, 7

• 13, 5, 12

Explain why it is not possible to make a right triangle using lengths of 4 feet, 8 feet, and 10 feet?