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Pythagorean Theorem

Total questions: 35

Worksheet time: 3hrs 45mins

Name
Class
Date
1.

Find the missing side

a)

11

b)

61

c)

61\sqrt{61}

d)

11\sqrt{11}

2.
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
3.
The Pythagorean Theorem is
a2 + b3 = c4
a)
false
b)
true
4.
Side a on a right triangle is ALWAYS the longest side.
a)
true
b)
false
5.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
6.

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

7.

Which equation can be used to solve for "x"?

a)

152 – x2 = 212

b)

x2 – 152 = 212

c)

152 + 212 = x2

d)

212 – 152 = x2

8.
Name the longest side of a right triangle.
a)
leg a
b)
leg b
c)
leg 
d)
hypotenuse
9.

Determine the length of the missing side.

a)

7

b)

8

c)

17

d)

23

10.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
11.
What is the side of a right triangle across from the right angle called?
a)
square
b)
arm
c)
leg
d)
hypotenuse
12.
Would a triangle with these side lengths be a right triangle?
4, 5, 6
a)
Yes
b)
No
13.
solve for c
a)
7
b)
9
c)
4
d)
13
14.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
15.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
16.
Find the length of the missing side. 
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
17.
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
18.
The pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
19.
a)
G
b)
O
c)
E
d)
X
20.
Find the perimeter of a triangle that has legs that are 3 cm and 4 cm. 
a)
5
b)
7
c)
10
d)
12
21.
The Pythagorean Theorem is
c2 = a2 - b2  
a)
false
b)
true
22.

Sides a and b are called legs.

a)

true

b)

false

23.
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
24.

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.

25.
What is the height of the cone? 
a)
14 cm
b)
8 cm
c)
12 cm
d)
13.9 cm
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)

119\sqrt{119}

c)

13

d)

169

27.

Find the missing variable. Show your work. Round to the nearest hundredths place.

a)

22.96

b)

22.00

c)

524.41

d)

28.60

28.

The composite figure shown was created using a cone and a hemisphere (half-sphere) that share the same base. Determine the radius and diameter of the composite figure. Round to the nearest tenth.

a)

radius: 24

diameter: 48

b)

radius: 12

diameter: 24

c)

radius: 6

diameter: 12

d)

radius: 27.9

diameter: 55.8

29.

What is the length of the hypotenuse in the triangle shown?

a)

3

b)

4

c)

5

d)

8

30.
Which equation would you use to find the volume of this composite figure?
a)
π(2)²(8) + 4/3π(2)³
b)
π(2)²(4) + 4/3π(2)³
31.
What is the volume of this composite figure? Use the pi button on your calculator and round the answer to the nearest tenth.
a)
4825.5 ft3
b)
1206.4 ft3
32.
Find the volume of the composite solid.
Use 3.14 for pi.
a)
891.76 cm3
b)
420.76 cm3
33.
Find the volume of the composite solid.
Use 3.14 for pi.
a)
188.4 m3
b)
753.6 m3
34.

Calculate the volume

a)

452.4 in3

b)

226.2 in3

c)

150.8 in3

35.
Find the volume of the empty space left inside the cylinder.
a)
261.8
b)
246.3
c)
321.4
d)
1245.5

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