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Pythagorean Theorem Quiz Review

Total questions: 120

Worksheet time: 6hrs 52mins

Name
Class
Date
1.

8,14,16 acute, right or obtuse

a)

acute

b)

right

c)

obtuse

2.

16,63,65 acute, right, obtuse

a)

acute

b)

right

c)

obtuse

3.

12, 14, 16 acute, right, obtuse

a)

acute

b)

right

c)

obtuse

4.
a = 2.1, b = 7.2,
c = 7.5
Is this a right triangle?
a)
yes 
b)
no
5.
Given the 3 lengths of a triangle are 6 in, 8 in and 10 in.  Will this make a right triangle?
a)
yes
b)
no
6.
Do the segment lengths 9, 12, and 15 form a right triangle?
a)
Yes
b)
No
7.
Which set of side lengths does not form a right triangle?
a)
38, 80, 90
b)
16, 63, 65
c)
36, 77, 85
d)
14, 15, 29
8.
Which set of side lengths form a right triangle?
a)
3, 4, 7
b)
33, 56, 65
c)
66, 72, 97
d)
10, 15, 25
9.
Do these 3 side lengths form a right triangle?
13, 80, and 81?
a)
yes
b)
no
10.
If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?
a)
9
b)
40
c)
41
11.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
12.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
13.
Find the missing side
a)
36
b)
76.8
c)
12
d)
40
14.
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?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
15.

John leaves school to go home. He walks 4 blocks North and then 7 blocks west. How far is John from the school?

a)

3.3 blocks

b)

5.7 blocks

c)

11 blocks

d)

8.1 blocks

16.
What is the formula used to solve for the hypotenuse?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
17.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
18.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
19.
solve for x
a)
5552363959656.
b)
10
c)
100
d)
89
20.
A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?
a)
111.8 yards
b)
115 yards
c)
127.3 yards
d)
119 yards
21.
Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards. What is the length of the diagonal, in yards, that Tanya runs? 
a)
26.5 yards
b)
10 yards
c)
50 yards
d)
46.7 yards
22.
a = 2.1, b = 7.2,
c = 7.5
Is this a right triangle?
a)
yes 
b)
no
23.
What is the longest side of a right triangle called?
a)
Leg A
b)
Leg B
c)
Hypotenuse
d)
Pythagoras' Big Buddy
24.

Given the 3 lengths of a triangle are 12 in, 16 in and 20 in. Will this make a right triangle?

a)

yes

b)

no

25.

Which set of side lengths forms an obtuse triangle?

a)

41, 81, 90

b)

16, 63, 65

c)

36, 77, 85

d)

14, 15, 29

26.
What are the 2 shorter sides of a right triangle called?
a)
Hypotenuse
b)
Pythagorean Theorem
c)
Legs
d)
Right triangle
27.
The Pythagorean Theorem is
c2 = a2 - b2  
a)
false
b)
true
28.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

29.

What is the name for side c?

a)

head

b)

body

c)

hippopotamus

d)

hypotenuse

30.

c= 97, b= 72, a=?

a)

35

b)

75

c)

65

d)

55

31.
Find the length of the longest rod that could fit into a rectangular prism that has the following dimensions:
length- 5.5 cm
width- 4.3 cm
height-  2.6 cm
a)
7.5
b)
37.01
c)
6.8
d)
61.5
32.
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?
a)
14
b)
10
c)
5.3
d)
2
33.
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?
a)
8.54 feet
b)
10.44 feet
c)
10 feet
d)
4.12 feet
34.
if a = 3 in.,  b = 12 in.,  and c = 4 in., what is the length of d rounded to the nearest hundredth of a foot?
a)
12.65 in.
b)
5 in.
c)
13 in.
d)
12 in.
35.
a)
7 ft
b)
5 ft
c)
3 ft
d)
2 ft
36.
The measurements for a rectangular box are L = 143 cm, W = 24 cm and H = 22 cm.  Harry would like to ship his wand in this box.  His wand is 146 cm long.  Can he fit his wand in this box?
a)
Yes
b)
No
37.
A 10-foot ladder is leaning against the wall.  The bottom of the ladder is 4 feet from the base of the wall.  Which of the following is closest to the distance from the top of the ladder to the base of the wall?
a)
9ft
b)
11ft
c)
6ft
d)
14ft
38.

Sides a and b are called legs.

a)

true

b)

false

39.
Find the missing side
a)
9
b)
41
c)
6.4
d)
6.2
40.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
41.
Find the length of the missing side. 
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
42.
Do the segment lengths 15, 12, and 9 form a right triangle?
a)
Yes
b)
No
c)
Maybe
d)
Pythagoras
43.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

44.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
45.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
46.

a= 12, b= 35, c= ? Find c

a)

32

b)

37

c)

19

d)

20

47.

All of the a square plus all of the b square will perfectly fill the c square with nothing left over.

a)

True

b)

False

48.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
49.
Find the missing side
a)
9
b)
26.9
c)
37
d)
18.2
50.

Find the right statement!

a)
b)
c)
d)
51.

Find the length of BC!

a)

6 cm

b)

7 cm

c)

12 cm

d)

11 cm

52.

Find the length of QR!

a)

15 cm

b)

18 cm

c)

20 cm

d)

24 cm

53.

Find the value of x!

a)

13 cm

b)

16 cm

c)

18 cm

d)

15 cm

54.

Look at the diagram given!

AB = 4 cm, AC = 8.5 cm.

Find the length of BC

a)

5.5 cm

b)

6.5 cm

c)

7.5 cm

d)

11.5 cm

55.

PR = ...cm.

a)

17 cm

b)

20 cm

c)

18 cm

d)

15 cm

56.

look at the diagram.

a = 4.5 cm, b= 20 cm.

Find the value of c.

a)

41 cm

b)

20.5 cm

c)

21.5 cm

d)

19.5 cm

57.

if x = 9 cm. So, AC = .... cm

a)
b)
c)
d)
58.

If BC = 10, AB = 8 cm, AC = ... cm.

a)

6 cm

b)
c)
d)
59.
a)
b)
c)

12

d)

17

60.

If the diagonal of a rectangle is 26 cm, and the length is 24 cm. Find the area of those rectangle.

a)

624

b)

120

c)

240

d)

260

61.
a)

54

b)

56

c)

76

d)

96

62.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

63.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

64.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
65.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
66.
Side a on a right triangle is ALWAYS the longest side.
a)
true
b)
false
67.

You ADD a2 and c2 then take the square root of that SUM to find b on a right triangle.

a)

true

b)

false

68.
you ADD a2 and b2 then take the square root to find c on a right triangle.
a)
true
b)
false
69.
The Pythagorean Theorem is
a2 + b2 + c2
a)
false
b)
true
70.

Find the length of the missing side

a)

48

b)

108

c)

83.6

d)

72

71.

solve for c

a)

7

b)

9

c)

4

d)

13

72.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
73.
What is the side of a right triangle across from the right angle called?
a)
square
b)
arm
c)
leg
d)
hypotenuse
74.
Would a triangle with these side lengths be a right triangle?
4, 5, 6
a)
Yes
b)
No
75.
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
76.
what is the missing length?
a)
50
b)
60
c)
70
d)
80
77.
a = 2.1, b = 7.2, c = 7.5
Is this a right triangle?
a)
yes 
b)
no
78.

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

15.7

e)

None of them

79.
Which of the following sentences would belong in the proof that describes this image?
a)
The sum of the areas of the two smaller squares is equal to the area of the large square.
b)
The sum of the side lengths of the two smaller squares is equal to the side length of the large square.
c)
The difference of the areas of the two smaller squares is equal to the area of the large square.
d)
The differences of the side lengths of the two smaller squares is equal to the side length of the large square.
80.
a)
The top of the ladder is 8.9 ft from the ground
b)
The top of the ladder is 9.2 ft from the ground
c)
The top of the ladder is 16.5 ft from the ground
d)
The top o the ladder is 14.4 ft from the ground
81.
a)
The diagonal is 15.59 cm
b)
The diagonal is 20.12 cm
c)
The diagonal is 21.43 cm
d)
The diagonal is 15.31 cm
82.
Solve for the walkway length
a)
30
b)
40
c)
58
d)
35
83.
a)
9.2 in
b)
11 in
c)
13 in
d)
9.6 in
84.
The legs form what type of angle?
a)
Acute
b)
Obtuse
c)
Reflex
d)
Right
85.
What is the formula for finding the hypotenuse?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
86.
Which equation can be used to solve the word problem: the diagonal of a t.v. is 40 inches and the height is 30.  How wide is the t.v.?
a)
302  + 402 = c2
b)
a2  + 402 = 302
c)
302  + b2 = 402
d)
402  + 302 = c2
87.

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?

a)

210 m

b)

180 m

c)

150 m

d)

79 m

88.
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?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
89.
A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?
a)
111.8 yards
b)
115 yards
c)
127.3 yards
d)
119 yards
90.
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?
a)
10
b)
25
c)
175
d)
625
91.
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?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
92.
Madison is on the top of an 80 foot building. She is creating a zipline course to the ground with 100 feet of cable. How far from the base of the building will she need to anchor the cable to make the zipline cable tight?
a)
60 feet
b)
20 feet
c)
180 feet
93.
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.  
a)
53
b)
22
c)
75
d)
9
94.
A baseball diamond is a square with sides of 90 feet.  What is the distance to the nearest foot that a 3rd baseman has to make if he throws a ball from first base to third base. 
a)
90
b)
127
c)
180
d)
128
95.
A suitcase measures 24 inches long and 18 inches high,  What is the diagonal length of the suitcase to the nearest tenth of a foot.
a)
30
b)
42
c)
36
d)
33
96.
In a computer catalog, a computer is listed as being 19 inches.  This distance is the diagonal distance across the screen.  If the screen measures 10 inches in height, what is the actual width of the screen to the nearest inch?
a)
16
b)
21
c)
17
d)
18
97.
Two joggers run 8 miles north and then 5 miles west.  What is the shortest distance back to their starting point to the nearest tenth of a mile?
a)
13
b)
9.4
c)
6.2
d)
9
98.
Trista's TV screen is 17 inches long. If the diagonal measures 22 inches, how long is the width of Donna's TV? 
a)
5 in
b)
10 in
c)
14 in
d)
28 in
99.
Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards. What is the length of the diagonal, in yards, that Tanya runs? 
a)
26.5 yards
b)
10 yards
c)
50 yards
d)
46.7 yards
100.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
101.

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?

a)

8 feet

b)

5.29 feet

c)

10 feet

d)

14 feet

102.

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

a)

12 feet

b)

13.9 feet

103.

In the Old West, settlers made tents out of a piece of cloth thrown over a clothesline and then secured it to the ground with stakes forming an isosceles triangle. How long would the cloth have to be so that the opening of the tent was 6 feet high and 8 feet wide?

a)

14.4 feet

b)

7.2 feet

c)

10 feet

d)

20 feet

104.

A baseball "diamond" is actually a square with sides of 90 feet. If a runner tries to steal second base, how far must the catcher, at home plate, throw to get the runner "out"? (Distance across the diagonal)

a)

180 feet

b)

90 feet

c)

13.4 feet

d)

127.3 feet

105.

Your family wants to purchase a new laptop with a 17" widescreen. Since the 17 inches represents the diagonal measurement of the screen (upper corner to lower corner), you want to find out the actual dimensions of the laptop. When you measured the laptop at the store, the height was 10 inches, but you don't remember the width. Calculate the width of the laptop to the nearest tenth of an inch.

a)

7 inches

b)

10 inches

c)

19.7 inches

d)

13.7 inches

106.

During a football play, Odell Beckham Jr. runs a straight route 40 yards up the sideline before turning around and catching a pass thrown by Eli Manning. On the opposing team, a defender who started 20 yards across the field from Beckham saw the play setup and ran a slant towards Beckham. What was the distance the defender had to run to get to the spot where Beckham caught the ball?

a)

34.6 yards

b)

44.7 yards

c)

60 yards

d)

40 yards

107.

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?

a)

105 meters

b)

79.4 meters

c)

210 meters

d)

150 meters

108.

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?

a)

9 feet

b)

19.2 feet

c)

81 feet

d)

369 feet

109.

The diagonal of a rectangle is 25 inches. The width is 15 inches. What is the area of the rectangle?

a)

375 in2

b)

70 in2

c)

300 in2

d)

20 in2

110.

Jill's front door is 42" wide and 84" tall. She purchased a circular table that is 96 inches in diameter. Will the table fit through the front door?

a)

Yes

b)

No

111.

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

112.

Town A is 90 miles from Town B, and 18 miles from Town C. Town A, B, and C are forming a right triangle at A. A road connects towns B and C directly. Find the length of this road.

a)

108 miles

b)

91.8 miles

c)

88.2 miles

d)

72 miles

113.

Two sides of a right triangle are 8 and 12. Find the missing side length if 8 and 12 are legs.

a)

4.5

b)

20

c)

8.9

d)

14.4

114.

Two sides of a right triangle are 8 and 12. Find the missing side if 8 and 12 are a leg and hypotenuse.

a)

14.4

b)

8.9

c)

20

d)

4.5

115.

Find the area of the missing square off of leg A if the area of one square is 369 and the area of another is 81?

a)

21.2

b)

17

c)

450

d)

288

116.

The three sides of triangle ABC measure 16 meters, 24 meters, and 29 meters. Is triangle ABC an acute, right, or obtuse triangle?

a)

Not a triangle

b)

Acute

c)

Obtuse

d)

Right

117.

The three sides of triangle JKL measure 11.2 meters, 21 meters, and 23.8 meters. Is triangle JKL an acute, right, or obtuse triangle?

a)

Not a triangle

b)

Acute

c)

Obtuse

d)

Right

118.

The three sides of triangle XYZ measure 13 meters, 17 meters, and 21 meters. Is triangle XYZ an acute, right, or obtuse triangle?

a)

Not a triangle

b)

Acute

c)

Obtuse

d)

Right

119.

The three sides of triangle DEF measure 10 meters, 7 meters, and 17 meters. Is triangle DEF an acute, right, or obtuse triangle?

a)

Not a triangle

b)

Acute

c)

Obtuse

d)

Right

120.

The area of a square is 81 square centimeters. Find the length of the diagonal.

a)

9 cm

b)

12.7 cm

c)

18 cm

d)

40.5 cm

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