Free Printable Pythagorean Theorem Practice Test

Worksheets

Pythagorean Theorem Practice Test

Total questions: 40

Worksheet time: 5hrs 10mins

Name

Class

Date

_{^{Find the missing side}}

6.4

7 ft

5 ft

3 ft

2 ft

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

15.6

6.6

What is the height of the cone?

14 cm

8 cm

12 cm

13.9 cm

if a = 3 feet, b = 8 feet, and c = 6 feet, what is the length of d rounded to the nearest hundredth of a foot?

8.54 feet

10.44 feet

10 feet

4.12 feet

_{^{Find the missing side}}

108

83.6

Which set of sides would make a right triangle?

4,5,6

8,10,12

5,12,13

5,10,12

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

9.2 in

11 in

13 in

9.6 in

10.

The Pythagorean Theorem is
a² + b³= c⁴

false

true

11.

you ADD a² and c² then take the square root to find b on a right triangle.

true

false

12.

you ADD a² and b² then take the square root to find c on a right triangle.

true

false

13.

Side a on a right triangle is ALWAYS the longest side.

true

false

14.

What is the opposite of squaring a number?

divide

multiply

fractions

square root

15.

The Pythagorean Theorem ONLY works on which triangle?

obtuse

scalene

isosceles

right

16.

The top of the ladder is 8.9 ft from the ground

The top of the ladder is 9.2 ft from the ground

The top of the ladder is 16.5 ft from the ground

The top o the ladder is 14.4 ft from the ground

17.

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

210 m

180 m

150 m

79 m

18.

Which set of side lengths does not form a right triangle?

38, 80, 90

16, 63, 65

36, 77, 85

14, 15, 29

19.

Find the length of the missing side.

25 cm

42 cm

52 cm

48 cm

20.

_{^{Find the missing side}}

√29.2

√400

√20

√10

21.

What is the distance between the two points?

6.3

6.5

6.7

22.

A coordinate plane is shown with labeled points.

What is the distance between point A and point B on the coordinate plane?

23.

Calculate the distance between Points A and B.

7.1

7.8

4.5

9.2

24.

Select all perfect squares

289

25.

The longest side of a right triangle is called

root

right angle

leg

hypotenuse

26.

How would you write the Pythagorean Theorem equation for this right triangle?

27.

Find the missing side of this triangle

68.8

28.

The Pythagorean Theorem only works on which triangle?

Obtuse

Scalene

Isosceles

Right

29.

The Pythagorean Theorem is a²+b²+c²

True

False

30.

Which is the inverse operation of squaring a number?

dividing it

using fractinos

taking the square root

multiplying it

31.

The logo on a college banner consists of the face of a tiger inside a triangle. The lengths of the sides of the triangle are 13cm, 14cm and 15cm. Is the triangle a right triangle?

Yes, side lengths 13cm, 14cm, and 15cm form a right triangle.

No, side lengths 13cm, 14cm, and 15cm do not form a right triangle.

32.

4.) Suppose Birmingham, Huntsville, and Gadsden for a right triangle. What is the distance from Huntsville to Gadsden? Round to the nearest tenth.

(a)

33.

5.) A 24 foot tall building has a 7 foot wide alley next to it. How tall would the ladder be, if it rested at the top of the building and had it's base against the bottom of the building next to it?

(a)

34.

Which of the following could be the areas (squares around the right triangle)

of the three squares below?

Example

12 ft², 16 ft², and 20 ft² would NOT be the areas of the squares off of a right triangle because 12 + 16 does not equal 20. All three numbers says feet² meaning the numbers have already been squared.

10 ft², 18 ft², and 30 ft²

4 ft², 5 ft², and 12 ft²

8 ft², 16 ft², and 24 ft²

35.

Which of the following could be the perimeters

of the three squares below?

Example

20 ft, 16 ft, and 24 ft would NOT be the perimeters of the squares because 20/4=5, 16/4=4, 24/4=6 AND 5²+4² does not equal 6². You need to divide each perimeter by 4 to find the side lengths of the right triangle to see if they work with the Pythagorean Theorem.

12 ft, 16 ft, and 20 ft

40 ft, 80 ft, and 120 ft

16 ft, 24 ft, and 28 ft

36.

What is the distance of the line connecting Point A and B? Round to the nearest tenth.

269

16.4

16.5

37.

What is the distance of the diagonal line on the trapezoid?

38.

Haltom thinks a window frame at GJHS looks slanted because the corner does not appear to be a 90⁰ angle. Amancio thinks it looks just fine. They measured the window to check and found the width to be 25 inches, the height to be 36 inches, and the diagonal distance to be 45 inches. Who is correct? Hint: Check the numbers using the converse.

Haltom

Amancio

39.

Which equation correctly applies the Pythagorean Theorem to solve for the missing side length?

$x^2+16^2=20^2$

$20^2+x^2=16^2$

$16^2-20^2=x^2$

$x^2+26^2=10^2$

40.

Which set of angles are alternate interior angles?

1 and 7

1 and 4

2 and 4

3 and 6

100 %

Pythagorean Theorem Practice Test

Total questions: 40

Worksheet time: 5hrs 10mins

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