Free Printable #4-3: Word problems and Distance using the Pythagorean Theorem

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#4-3: Word problems and Distance using the Pythagorean Theorem

Total questions: 20

Worksheet time: 2hrs 33mins

Name

Class

Date

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

8 feet

5.29 feet

10 feet

14 feet

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

25 feet

26 feet

27 feet

28 feet

The size of a television screen is measured by the length of the diagonal of the screen. What size is a television screen that is 3 feet tall and 6 feet wide?

6.7

Find h

35.60

35.00

35.71

61.03

Level 1

If a right triangle has side lengths 6, 7 and 3, which side is the hypotenuse?

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

Which diagram best represents the problem?

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the other corner diagonally across the field. How far do the players run?

105 meters

79.4 meters

210 meters

150 meters

To get from one side of the pond to the other you must walk 34 meters south and 41 meters east. To the nearest meter, how many less meters would it take if it were possible to go directly across the pond.

Find the distance between J and K.

8.2

7.7

10.2

10.

Which equation is modeled by the picture shown?

3²+5²=4²

3²+4²=5²

5²+4²=3²

9²+16²=25²

11.

What is the distance between the two points?

6.3

6.5

6.7

12.

What is the area of the third square?

6.7 cm²

33.5 cm²

2025 cm²

45 cm²

13.

If the area of the blue square is 25 in² and the area of the green square is 169 in², what is the area of the yellow square?

12 in²

144 in²

194 in²

13.9 in²

14.

What is the length of the diagonal of rectangle PQRS ? Each grid square or "box" is one unit. Round to the nearest tenth if necessary.

5.8

4.6

15.

Find the distance.

9.7

10.7

11.7

12.7

16.

Find the distance between P and Q.

5 units

4 units

2.6 units

3 units

17.

Which set of sides would make a right triangle?

4,5,6

8,10,12

5,12,13

5,10,12

18.

The width of a rectangle is 4 feet, and the diagonal length of the rectangle is 13 feet. Which measurement is the closest to the length of this rectangle in feet?

9 ft

17 ft

12.4 ft

13.6 ft

19.

Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?

5.3

20.

How far from the base of a house do you need to place a 15' ladder so that is exactly reaches the top of a 12' wall?

9 feet

19.2 feet

81 feet

369 feet

Reset

#4-3: Word problems and Distance using the Pythagorean Theorem

Total questions: 20

Worksheet time: 2hrs 33mins

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