pythagoream theorem practice

The legs of a right triangle are 6 inches and 8 inches. Which equation can be used to find the hypotenuse?

• 6² + 10² = 8²

• 6² + 8² = 10²

• 8² + 10² = 6²

• 6² + 8² = 14²

Right triangle DEF is shown. What is the length of the hypotenuse, x, of triangle DEF? Round your answer to the nearest hundredth.

• 47.25

• 25.20

• 33.42

• 33.24

Two sides of a right triangle have side lengths of 15 cm and 36 cm. What is the length of the hypotenuse?

• 39 cm

• 2,601 cm

• 41 cm

• 1,296 cm

A triangular piece of paper has a side that measures 21 ft. and a hypotenuse that measures 35 ft. What is the length of the missing side?

• 40

• 66

• 28

• 56

Point M, point N, and point O are located on the coordinate grid. What is the distance between points M and O?

• 14 units

• 10 units

• 100 units

• 9 units

The coordinates of the vertices of a right triangle are A (−3, 3), B (−3, 8), and C (3, 8). Which one of the following measurements is closest to the length of segment AC?

• 3.3 units

• 8.5 units

• 9.2 units

• 7.8 units

Dante, a firefighter, has placed a ladder on a building to rescue a cat. What is the height of the building?

• 25 ft.

• 9 ft.

• 15 ft.

• 8 ft.

Triangle DEF forms a right triangle. Point D (2, 2) and point E (6, 5) are shown on the coordinate grid below. What could be the coordinates for point F?

• (2, -6)

• (4, 3)

• (6, 2)

• (3, 4)

A gardener joined three square patio tiles at their vertices to create the figure shown in the diagram. The gardener will use small congruent square tiles to cover each patio without any gaps or overlaps. Based on the information, which statement is true?

• The number of tiles needed to cover Patio C is the same as the number of tiles needed to cover both Patio A and Patio B.

• The number of tiles needed to cover Patio B is the same as the number of tiles needed to cover both Patio A and Patio C.

• The number of tiles needed to cover Patio C is less than the number of tiles needed to cover both Patio A and Patio C.

• The number of tiles needed to cover Patio A is the same as the number of tiles needed to cover both Patio B and Patio C.