Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Pythagorean Theorem & Special Right Triangles Practice

Total questions: 35

Worksheet time: 8hrs 30mins

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.

Determine the length of the missing side.

a)

7

b)

8

c)

17

d)

23

4.
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?
a)
210 m
b)
180 m
c)
150 m
d)
79 m
5.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
6.
State if the three sides lengths form an acute, obtuse, or right triangle:
6 mi, 14 mi, 17 mi
a)
acute
b)
obtuse
c)
right
7.
State if the three sides lengths form an acute, obtuse, or right triangle:
7 in, 11 in, 13 in
a)
acute
b)
obtuse
c)
right
8.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
9.
Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?
a)
14
b)
10
c)
5.3
d)
2
10.
A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?
a)
7.5 in
b)
12.4 in
c)
13.6 in 
d)
14.3 in
11.
what is the formula for finding the hypotnuse?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
12.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
13.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
14.
Find the length of the missing side. 
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
15.
Find the missing side
a)
37
b)
17.66
c)
6
d)
312
16.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
17.
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.
18.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
19.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
20.
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
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 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
23.

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

24.
What type of special triangle is this?
a)
45°-45°-90°
b)
30°-60°-90°
c)
Equiangular
d)
Equilateral
25.
What type of special triangle is this?
a)
45°-45°-90°
b)
30°-60°-90°
c)
Isosceles
d)
Obtuse
26.
Find the value of x.
a)
18
b)
18√3
c)
36√3
d)
12
27.

Use the 45-45-90 theorem to solve for the hypotenuse.

a)

16

b)

8

c)

8√2

d)

√16

28.

Determine the length of x.

a)

x = 3/2

b)

x = 3

c)

x = 3√3

d)

x = 6

29.

Determine the value of x.

a)

x = 10√2

b)

x = 10

c)

x = 5√3

d)

x = 5√6

30.

Determine the value of x.

a)

x = 8√2

b)

x = 16√2

c)

x = 16

d)

x = 8√6

31.

Determine the value of c.

a)

c = 6√3

b)

c = 12√3

c)

c = 18

d)

c = 18√2

32.

Find the value of m.

a)

10

b)

10√2

c)

20√2

d)

√2

33.

What is the exact side length of a square that has a diagonal of 18?

a)

9

b)

18√2

c)

9√2

d)

√2

34.

A 40 ft ladder is leaning against a house. The angle formed between the ladder and ground is 60 degrees. How many ft away from the house is the bottom of the ladder?

a)

40

b)

20

c)

20√3

d)

40√2

35.

Find the missing side length. Leave your answer in simplified radical form.

a)

a=52a=5\sqrt{2}

b)

a=5a=5

c)

10210\sqrt{2}

d)

a=10a=10

Similar Resources on Wayground

ATM Trig Test Review

30 questions

ATM Trig Test Review

quiz

Worksheet

•

11th - 12th Grade

5P- OTRA PRÁCTICA

40 questions

5P- OTRA PRÁCTICA

quiz

Worksheet

•

11th Grade

Circles Review (This is a grade!!)

35 questions

Circles Review (This is a grade!!)

quiz

Worksheet

•

9th - 12th Grade

EVALUASI TRANSFORMASI KELAS IX

30 questions

EVALUASI TRANSFORMASI KELAS IX

quiz

Worksheet

•

9th - 12th Grade

ASTS 2 SMKP Alfabir Matematika

40 questions

ASTS 2 SMKP Alfabir Matematika

quiz

Worksheet

•

11th Grade - University

PENTAKSIRAN AKHIR PEMBELAJARAN 2020 - MATEMATIK T4

40 questions

PENTAKSIRAN AKHIR PEMBELAJARAN 2020 - MATEMATIK T4

quiz

Worksheet

•

7th - 11th Grade

HĐ Luyện tập bài qt cộng, nhân

40 questions

HĐ Luyện tập bài qt cộng, nhân

quiz

Worksheet

•

10th Grade - University

KUIS MATRIKS

30 questions

KUIS MATRIKS

quiz

Worksheet

•

11th Grade