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WorksheetsPythagorean Theorem and Special Right Triangles Review
Total questions: 22
Worksheet time: 3hrs 42mins
Name
Class
Date
1.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
2.
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
3.
What is the opposite of squaring a number?
a)
divide
b)
multiply
c)
fractions
d)
square root
4.
solve for x
a)
5552363959656.
b)
10
c)
100
d)
89
5.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
6.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
7.
solve for the value of y
a)
13
b)
5
c)
23
d)
10
8.
What is the value of x in the right triangle shown?
a)
16cm
b)
18cm
c)
24cm
d)
√674cm
9.
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
10.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
11.
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.
12.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
13.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
14.
Which side is the long leg in this 30-60-90 triangle?
a)
4
b)
u
c)
v
15.
Which side is the short leg of this 30-60-90 triangle?
a)
6
b)
m
c)
n
16.
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
17.
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
18.
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
19.
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
20.
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
21.
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
22.
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
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