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Pythagorean Theorem

Total questions: 40

Worksheet time: 54mins

Name
Class
Date
1.

Level 1

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

2.

Level 1

The Pythagorean Theorem is

a2 + b2 + c2

a)

false

b)

true

3.

Level 1

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

4.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
5.
What is the side of a right triangle across from the right angle called?
a)
square
b)
arm
c)
leg
d)
hypotenuse
6.
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
7.

Sides a and b are called legs.

a)

true

b)

false

8.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
9.

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

10.
you ADD a2 and b2 then take the square root to find c on a right triangle.
a)
true
b)
false
11.

What is a right triangle?

a)

A triangle where all sides equal 90 degrees

b)

A triangle where every angle is 90 degrees

c)

A triangle where all three sides are equal

d)

A triangle where there is a 90 degree angle

12.

The Pythagorean Theorem is _________

a)

a + b = c

b)

a2 + b2 = c2

c)

a2 + b2 + c2

d)

A = LW

13.

What is the hypotenuse?

a)

6.2

b)

5.4

c)

8.2

14.

What's the hypotenuse?

a)

10

b)

8

c)

12.8

15.

What's the hypotenuse?

a)

9

b)

10.2

c)

5

16.

Which leg is the hypotenuse?

a)

19.2

b)

12

c)

15

17.
What is the length of the hypotenuse?
a)
16
b)
30
c)
34
18.

Which equation will help you find the length of c?

a)

272142=c227^2-14^2=c^2

b)

142272=c214^2-27^2=c^2

c)

142+272=c214^2+27^2=c^2

d)

142+c2=27214^2+c^2=27^2

19.

Which equation will help you find the missing side?

a)

42+102=c24^2+10^2=c^2

b)

10242=c210^2-4^2=c^2

c)

c2=100+102c^2=100+10^2

d)

c2+42=102c^2+4^2=10^2

20.

Which equation will help you find the length of c?

a)

192172=c219^2-17^2=c^2

b)

192+172=c219^2+17^2=c^2

c)

22=c22^2=c^2

d)

362=c236^2=c^2

21.
Identify the hypotenuse.
a)
x
b)
z
c)
w
22.

What does  929^2  mean?

a)

 9×29\times2  

b)

 9×9×9×99\times9\times9\times9  

c)

 2×92\times9  

d)

 9×99\times9  

23.

Which symbol shows square root?

a)

π\pi

b)

Δ\Delta

c)

\sqrt{ }

d)

c2c^2

24.

What is 49\sqrt{49}  ?

a)

6

b)

2401

c)

98

d)

7

25.
How can you identify the hypotenuse of any right triangle?
a)
the shortest side
b)
the side attached to the right angle
c)
the side directly across from the right angle
d)
the side directly across from the most acute angle
26.

What side(s) are the legs?

a)

a & b

b)

a & c

c)

b & c

d)

a,b, and c

27.

What side(s) are the legs?

a)

a and b

b)

a and c

c)

b and c

d)

a, b, anc c

28.
√36
a)
4
b)
3
c)
6
d)
5
29.
√25
a)
2
b)
3
c)
5
d)
6
30.
72
a)
50
b)
49
c)
14
d)
48
31.
82
a)
16
b)
64
c)
24
d)
10
32.
Estimate the square root. 
Estime la raíz cuadrada.


a)
4
b)
5
c)
6
d)
7
33.
Estimate the square root. 
Estime la raíz cuadrada.

a)
3
b)
4
c)
5
d)
6
34.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
35.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
36.

Find the missing side

a)

11

b)

61

c)

61\sqrt{61}

d)

11\sqrt{11}

37.

Determine the length of the missing side.

a)

7

b)

8

c)

17

d)

23

38.
Find the missing side
a)
29.2
b)
20
c)
400
d)
10
39.
Find the missing side
a)
36
b)
76.8
c)
12
d)
40
40.
Find the missing side
a)
36
b)
76.8
c)
12
d)
40