WorksheetsPythagorean Theorem/Special Right Triangles
Total questions: 51
Worksheet time: 3hrs 13mins
Name
Class
Date
1.
Find the missing side. (Calculators are allowed)
a)
48
b)
108
c)
83.6
d)
72
2.
Find the length of the missing side. (Calculators are allowed)
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
3.
what is the formula for finding the hypotnuse?
a)
a2 + b2=c2
b)
a+b=c
c)
a2-b2=c2
d)
c2-a2=b
4.
Find the missing side. (Calculators are allowed)
a)
9
b)
41
c)
6.4
d)
3
5.
In a right triangle __________is ALWAYS the longest side.
a)
a leg
b)
a hypotenuse
6.
Find the length of the missing side. (Calculators are allowed)
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
7.
What is the opposite of squaring a number?
a)
divide
b)
multiply
c)
fractions
d)
square root
8.
The Pythagorean Theorem is
c2 = a2 - b2
c2 = a2 - b2
a)
false
b)
true
9.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
10.
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
11.
Is this a right triangle?
a)
whatever that means
b)
no
c)
what is that
d)
yes
12.
42 = ?
a)
9
b)
8
c)
16
d)
18
13.
92 = ?
a)
81
b)
4.5
c)
18
d)
72
14.
?
a)
2
b)
3
c)
4.5
d)
81
15.
The legs form what type of angle?
a)
Acute
b)
Obtuse
c)
Reflex
d)
Right
16.
What is the opposite of squaring a number?
a)
divide
b)
multiply
c)
fractions
d)
square root
17.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
18.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
19.
Find the missing side
a)
29.2
b)
20
c)
400
d)
10
20.
Find the missing side
a)
36
b)
76.8
c)
12
d)
40
21.
Find the missing side
a)
9
b)
26.9
c)
37
d)
18.2
22.
Find the missing side
a)
37
b)
17.66
c)
6
d)
312
23.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
24.
In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...
a)
Multiply that leg by 2
b)
Use the same length for the second leg
c)
Multiply that leg by √2
d)
Divide that leg by √2
25.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
26.
In this 45-45-90 triangle, I have been given the length of a leg. How do I find the length of the hypotenuse?
a)
It is the same length as the given leg.
b)
Multiply that leg's length by √2.
c)
Multiply that leg's length by 2.
d)
Divide that leg's length by √2.
27.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
28.
I have been given a hypotenuse in this 45-45-90 triangle. How do I find the length of a leg of the triangle?
a)
Multiply by √2
b)
Divide by √2
c)
It's the same length as the hypotenuse.
d)
Divide by 2
29.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
30.
Which side is the long leg in this 30-60-90 triangle?
a)
4
b)
u
c)
v
31.
Which side is the short leg of this 30-60-90 triangle?
a)
6
b)
m
c)
n
32.
I have been given the short leg in this 30-60-90 triangle. How do I find the long leg?
a)
Multiply 4 by 2
b)
Multiply 4 by √3
c)
Multiply 4 by √2
d)
Divide 4 by 2
33.
I have been given the short leg in this 30-60-90 triangle. How do I find the length of the hypotenuse?
a)
Multiply 4 by 2
b)
Multiply 4 by √3
c)
Multiply 4 by √2
d)
Divide 4 by √3
34.
I have been given the hypotenuse in this 30-60-90 triangle. How do I find the short leg?
a)
Multiply 6 by 2
b)
Multiply 6 by √3
c)
Divide 6 by 2
d)
Divide 6 by √3
35.
What is the length of u and v in this 30-60-90 triangle?
a)
u = 8 v = 4√3
b)
u = 4√2 v = 8
c)
u = 16 v = 8
d)
u = 4√3 v = 8
36.
I have been given the long leg in this 30-60-90 triangle. How do I find the short leg?
a)
Multiply 7 by 2
b)
Multiply 7 by √3
c)
Divide 7 by 2
d)
Divide 7 by √3
37.
I have been given the long leg in this 30-60-90 triangle. How do I find the hypotenuse?
a)
Divide 8 by √3
b)
Divide 8 by 2
c)
Divide 8 by 2, then multiply that answer by √2
d)
Divide 8 by √3, then multiply that answer by 2
38.
What are x and y in this 30-60-90 triangle?
a)
x = 6 y = 3√3
b)
x = 1.5√3 y =1.5
c)
x = 3√3 y = 6
d)
x = √3 y = 2√3
39.
What are x and y in this 30-60-90 triangle?
a)
x = 6 y = 3√3
b)
x = 3√2 y = 3
c)
x = 3√3 y = 6
d)
x = 3√3 y = 3√2
40.
What are u and v in this 30-60-90 triangle?
a)
v = 2√3 u = 6
b)
v = 4 u = 4√3
c)
v = 4 u = 4√2
d)
v = 4√3 u = 8√3
41.
What are a and b in this 30-60-90 triangle?
a)
b=3.5√3 a = 7√3
b)
b = 7 a = 7√2
c)
b = 7 a = 14
d)
b = 7√3 a = 14√3
42.
a)
A
b)
B
c)
C
d)
D
43.
a)
A
b)
B
c)
C
d)
D
44.
a)
A
b)
B
c)
C
d)
D
45.
a)
A
b)
B
c)
C
d)
D
46.
a)
A
b)
B
c)
C
d)
D
47.
a)
A
b)
B
c)
C
d)
D
48.
a)
A
b)
B
c)
C
d)
D
49.
a)
A
b)
B
c)
C
d)
D
50.
a)
A
b)
B
c)
C
d)
D
51.
a)
A
b)
B
c)
C
d)
D
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