WorksheetsPythagorean Theorem and Special Right Triangles
Total questions: 20
Worksheet time: 5hrs 0mins
Name
Class
Date
1.
what is the formula for finding the hypotnuse?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
2.
What is the length of x?
a)
5
b)
7
c)
8
d)
25
3.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
4.
Find the value of y.
a)
8
b)
4
c)
2√3
d)
8√3
5.
Find the value of x.
a)
32
b)
3
c)
62
d)
6
6.
What is the value of y?
a)
8√2
b)
2√2
c)
12
d)
16
7.
What is the value of x?
a)
12√2
b)
2√12
c)
24
d)
2
8.
Calculate the value of h in the figure above.
a)
h = 35.60
b)
h = 35.00
c)
h = 35.71
d)
h = 61.03
9.
Do the segment lengths 15, 12, and 9 form the sides of a right triangle?
a)
Yes
b)
No
c)
Maybe
d)
Pythagoras
10.
What is the opposite of squaring a number?
a)
divide
b)
multiply
c)
fractions
d)
square root
11.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
12.
You are making a guitar pick that resembles an equilateral triangle with side lengths of 32 millimeters. What is the approximate height of the pick? (hint: use 30-60-90 theorems)
a)
32√3
b)
16√3
c)
32
d)
16√2
13.
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
14.
Use the Pythagorean Theorem to find the missing side.
a)
A
b)
B
c)
C
d)
D
15.
Use the Pythagorean Theorem to find the missing side.
a)
A
b)
B
c)
C
d)
D
16.
Use the Pythagorean theorem to find the missing side.
a)
A
b)
B
c)
C
d)
D
17.
Use the Pythagorean theorem to find the missing side.
a)
A
b)
B
c)
C
d)
D
18.
Find the missing side of the 45-45-90 triangle.
a)
A
b)
B
c)
C
d)
D
19.
Find the missing side of the 30-60-90 triangle.
a)
A
b)
B
c)
C
d)
D
20.
Find the missing side of the 30-60-90 triangle.
a)
A
b)
B
c)
C
d)
D
100 %
