Free Printable The Pythagorean Theorem

1.

The Pythagorean Theorem is (a) (b) (c) (d) (e)

Choose from the below words

$a^2$

$+$

$b^2$

$=$

$c^2$

$x^2$

$-$

$\times$

$\div$

2.

Label each side of the right triangle.

a)Leg

b)Leg

c)Hypotenuse

1

2

3

1)

2)

3)

3.

What letter(s) represents the hypotenuse?

a)

a

b)

b

c)

c

4.

Which choice(s) represents the legs?

a)

a

b)

b

c)

c

5.

What is the final step in solving this work for c?
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²

a)

Divide both sides by 2

b)

Take the square root of both sides

c)

25 IS the final answer

6.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

7.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

8.

Find the missing side.

a)

18

b)

16

c)

17

d)

19

9.

Find the missing side.

10.

A triangle has legs that are 7 inches and 24 inches long. How long is the hypotenuse?

11.

Determine the length of the missing side.

12.

_{^{Find the missing side}}

13.

Find h (hint: it is NOT 60 ft!)

14.

Find the value of x.

15.

solve for c

16.

How do you feel about applying and using the Pythagorean theorem?

a)

I am lost

b)

I think I get it

c)

I got it

d)

EASY PEASY

17.

What is the height of the cone?

a)

14 cm

b)

8 cm

c)

12 cm

d)

13.9 cm

18.

Which equation is set up correctly for this word problem?

a)

$23^2+b^2=10^2$

b)

$10^2+b^2+23^2$

c)

$10^2+23^2=c^2$

d)

$a^2+23^2=c^2$

19.

How long is the zip line?

a)

$\sqrt{70}$

b)

$\sqrt{2900}$

c)

70

d)

2900

20.

How far would it be if you ran diagonally across the field? Round your answer to the nearest tenth.

(a)

21.

Lisa drives her car 46 km south and then 13 km east. How far is she from her starting point?

a)

44.1 km

b)

59 km

c)

47.8 km

d)

33 km

22.

A ladder reaches a height of 19 feet on the side of a building. If the base of the ladder is 10 feet from the wall, the length of the ladder is (a) .

Choose from the below words

21.5 feet

16.2 feet

29 feet

5.4 feet

23.

What is the length of the missing side? *NOTE: side lengths of 10 and 12.

a)

15.6

b)

6.6

c)

44

d)

16

24.

Determine the radius of the circle.

a)

6

b)

12.8

c)

12

d)

25.6

25.

What is the length of the pencil in the cylinder if the height is 12 inches and the diameter of the base is 10 inches?

a)

15.6 in.

b)

6.6 in.

c)

44 in.

d)

16 in.

26.

Find the length of the slant height for edge AV. (HINT:The altitude height of the pyramid is 12 meters.)

a)

10.9

b)

$\sqrt{119}$

c)

13

d)

169

27.

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?

a)

17 miles

b)

32 miles

c)

37 miles

d)

40 miles

The Pythagorean Theorem

Total questions: 27

Worksheet time: 2hrs 6mins

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