Free Printable Consolidating Pythagoras' Theorem

Worksheets

Consolidating Pythagoras' Theorem

Total questions: 20

Worksheet time: 1hrs 6mins

Name

Class

Date

What kind of triangles does the Pythagorean Theorem work with?

Right

Left

Isosceles

Equilateral

Identify the hypotenuse.

What is the length of x?

5.7

10.6

400

solve for c

To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk 34 meters south and 41 meters east. To the nearest meter, how many meters would be saved if it were possible to walk through the pond?

Find the length of b in this triangle.

Find x.

Calculate

29.2

14.2

32.2

10.

36.1

38.5

32.1

11.

What is the length of the monitor diagonally in two decimal places ?

32.1

32.10

54.75

47.2

12.

A 2.5m long ladder leans against the wall of a building. The base of the ladder is 1.5m away from the wall. What is the height of the wall?

2 cm

8 m

2 m

5 m

13.

Find h

35.60

35.00

35.71

61.03

14.

If a man is 6 ft. tall and he casts a shadow that is 3 ft. long, what is the distance from the top of the man's head to the end of his shadow.?

9 feet

6 feet

6.7 feet

9.7 feet

15.

What is the opposite of squaring a number?

divide

multiply

fractions

square root

16.

What is the formula used to solve for the hypotenuse?

a²+b²=c²

a+b=c

a²-b²=c²

c-a=c

17.

A new pipeline is being created to shorten the distance it has to travel to get from point A to point B. The original pipeline ran at a 90 angle from point A to point B and was 20 miles on one side and 15 miles on the other. The new pipeline will go straight from A to B. How much shorter will the new pipeline be?

175

625

18.

A group of boys are building a skate ramp onto the side of a concrete ledge. The concrete ledge is 4 feet tall. If the board they are using is 6 feet long, how many feet from the concrete will the end of the board reach?

5 feet

7.2 feet

8 feet

4.5 feet

19.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

17 miles

32 miles

37 miles

40 miles

20.

The hypotenuse is always.............

The right angle side

The shortest side

The longest side

On the outside

Reset

Consolidating Pythagoras' Theorem

Total questions: 20

Worksheet time: 1hrs 6mins

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