Quiz about Applying the Pythagorean Theorem

Question 1

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

Accepted Answer

5 ft.

Answer

1 ft.

Answer

8 ft.

Answer

25 ft.

Question 2

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.

Accepted Answer

26

Answer

34

Answer

30

Answer

22

Question 3

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?

Accepted Answer

117 ft.

Answer

104 ft.

Answer

120 ft.

Answer

160 ft.

Question 4

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?

Accepted Answer

7 feet

Answer

1 foot

Answer

35 feet

Answer

49 feet

Question 5

The diagram shows a rectangular field.

What is the length of the diagonal of the field?

Accepted Answer

200 ft.

Answer

120 ft.

Answer

394 ft.

Answer

520 ft.

Question 6

What the is missing side length?

$$\left(h^2-a^2=b^2\right)$$

Accepted Answer

$$15^2-9^2=b^2$$

Answer

$$a^2+b^2=h^2$$

Question 7

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

Accepted Answer

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

Answer

She added incorrectly. 3+4 is not 7.

Answer

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

Answer

She should multiply 3 and 4 to get 12.

Question 8

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

Accepted Answer

5 m

Answer

7 m

Answer

11 m

Answer

25 m

Question 9

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.

Accepted Answer

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

Answer

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

Answer

None of the above.

Applying the Pythagorean Theorem

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