Applying the Pythagorean Theorem

The garden is 6 feet wide and has a diagonal measurement of 10 feet.
What is x, the length of the garden, in feet? 
(Enter the number only.)

Tags

CCSS.8.G.B.8

The diagram shows a ramp and some of its dimensions. What is the height,  $h$ , of the ramp?

• 1 ft.

• 5 ft.

• 8 ft.

• 25 ft.

Tags

CCSS.8.G.B.8

Pat is making a shelf for a corner in her house. Her plan for cutting one piece of a board is shown. 
Find the measure of  $k$  in inches.

• 34

• 30

• 26

• 22

Tags

CCSS.8.G.B.7

Triangle PQR represents Jim's trip across a river. PQ represents the planned trip and PR represents his actual trip. Based on the measurements, which is closest to PR?

• 104 ft.

• 117 ft.

• 120 ft.

• 160 ft.

Tags

CCSS.8.G.B.7

Mr. Hill placed a 25-foot ladder against his house. The ladder reached up to a height of 24 feet on the outside of the house.

How far did Mr. Hill place the base of the ladder from his house?

• 1 foot

• 7 feet

• 35 feet

• 49 feet

Tags

CCSS.8.G.B.7

The diagram shows a rectangular field.

What is the length of the diagonal of the field?

• 120 ft.

• 200 ft.

• 394 ft.

• 520 ft.

Tags

CCSS.8.G.B.8

Tags

CCSS.8.G.B.7

Elizabeth is trying to find the missing side length. Here is her work. What mistake did she make?

• She added incorrectly. 3+4 is not 7.

• She added the side lengths instead of the areas. She should square 3 and 4 BEFORE adding.

• She used the wrong hypotenuse. 4 is the longest side.

• She should multiply 3 and 4 to get 12.

Tags

CCSS.8.G.B.8

Find the distance the base of the ladder is from the ground.

• 7 m

• 5 m

• 11 m

• 25 m

Tags

CCSS.8.G.B.8

Riyo wants to place a string of lights across the ceiling of her bedroom. The room is a rectangle that is 18 feet long and 15 feet wide. Her string of lights is 20 feet long. Will the string of lights be long enough to hang diagonally from one corner of the ceiling to the other? Explain.

• No; the diagonal of the room is about 23.4 feet long.

• Yes; the diagonal of the room is about 19.8 feet long.

• None of the above.

Tags

CCSS.8.G.B.8