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Triangle Sum/Inequality Theorem

Total questions: 45

Worksheet time: 30mins

Name
Class
Date
1.
9. Which of these lengths CANNOT represent the sides of a triangle?
a)
32, 34, 60
b)
28, 30, 58
c)
13, 20, 27
d)
2, 4, 5
2.

Will these side lengths form a triangle?

a)

yes

b)

no

3.

Will these line segments form a triangle?

a)

yes

b)

no

4.

Will these three sides form a triangle?

a)

yes

b)

no

5.
Does a triangle with these
side lengths exist?
(Don't fall for this one.)
0, 11, 12
a)
Yes
b)
No
c)
I don't know.
6.

Which of the following sets of side lengths could produce a triangle. SELECT ALL THAT APPLY.

a)

4, 4, 4

b)

5, 5, 10

c)

3, 6, 9

d)

5, 7, 11

e)

13, 5, 6

7.
In triangle ABC, the length of side AB is 10 inches and the length of side BC is 17 inches.  Which of the following could be the length of side AC?
a)
16 inches
b)
5 inches
c)
32 inches
d)
29 inches
8.
Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 mm, 4 mm
a)
more than 3 but less than 11
b)
more than 11 but less than 3
c)
less than 3 but more than 11
9.
side lengths of 4,4,4 form a triangle
a)
True
b)
False
10.
What is a possible third side to a triangle with side lengths of 13 and 4?
a)
9
b)
12
c)
8
d)
5
11.

Can the sides of a triangle have lengths 4, 7, and 18?

a)

Yes

b)

No

12.
If a = 3 and b = 4, c = ?
a)
5
b)
7
c)
25
d)
1
13.

If the longest side of the triangle was 10. Then the two shorter sides must have a sum that is ....?

a)

any length

b)

equal to 10

c)

greater than 10

d)

less than 10

14.

Do the following side lengths form a triangle?

2 inches, 2 inches, 4 inches

a)

Yes

b)

No

15.
Which of the following does not represent the lengths of the sides of a triangle?
a)
2 cm, 6 cm, 7 cm
b)
5 cm, 2 cm, 5 cm
c)
5 cm, 5 cm, 8 cm
d)
3 cm, 10 cm, 15 cm
16.

Find x.

a)

115 °\degree

b)

65 °\degree

c)

36 °\degree

d)

245 °\degree

17.

What is the missing angle?

a)

120 degrees

b)

90 degrees

c)

65 degrees

d)

40 degrees

18.

Two interior angles of a triangle measure 56 °\degree  and 37 °\degree  . What is the third interior angle of the triangle? 

a)

267 degrees

b)

145 degrees

c)

93 degrees

d)

87 degrees

19.

Two interior angles of a triangle measure 34 degrees and 38 degrees. What is the third interior angle of the triangle?

a)

108 degrees

b)

72 degrees

c)

2 degrees

d)

23 degrees

20.

Find the missing angle.

a)

39 degrees

b)

87 degrees

c)

42 degrees

d)

36 degrees

21.

Find the missing angles.

a)

130 degrees

b)

30 degrees

c)

45 degrees

d)

90 degrees

22.

Find x.

a)

75 degrees

b)

45 degrees

c)

63 degrees

d)

85 degrees

23.

Find x.

a)

75 degrees

b)

45 degrees

c)

15 degrees

d)

30 degrees

24.

Find x.

a)

60 degrees

b)

90 degrees

c)

50 degrees

d)

180 degrees

25.

Find h.

a)

32 degrees

b)

92 degrees

c)

56 degrees

d)

not enough information

26.
Identify the shortest side measure.
a)
QP
b)
QM
c)
MP
27.
List the side measures in order, shortest to longest.
a)
QM, QP, MP
b)
MQ, MP, QP
c)
MP, MQ, QP
28.
Identify the longest side measure.
a)
AC
b)
BA
c)
BC
29.
Identify the smallest angle.
a)
∠A
b)
∠B
c)
∠C
30.
List the angles in order by measure, smallest to largest.
a)
∠B, ∠A, ∠C
b)
∠A∠,B, ∠C
c)
∠A, ∠C, ∠B
31.
Identify the smallest angle.
a)
∠K
b)
∠L
c)
∠M
32.
Identify the largest angle.
a)
∠N
b)
∠Q
c)
∠P
33.
Can the following side measures form a triangle?
  3, 5, 8 
a)
Yes
b)
No
34.
9. Which of these lengths CANNOT represent the sides of a triangle?
a)
32, 34, 60
b)
28, 30, 58
c)
13, 20, 27
d)
2, 4, 5
35.
Does a triangle with these side lengths exist?
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
36.
Which of the following does not represent the lengths of the sides of a triangle?
a)
2 cm, 6 cm, 7 cm
b)
5 cm, 2 cm, 5 cm
c)
5 cm, 5 cm, 8 cm
d)
3 cm, 10 cm, 15 cm
37.
Select the measurements that match the sides of a triangle.
a)
7, 9, 19
b)
7, 12, 1
c)
7, 7, 7
d)
7, 7, 16
38.
Does a triangle with these
side lengths exist?
(Don't fall for this one.)
0, 11, 12
a)
Yes
b)
No
c)
I don't know.
39.

Will these three sides form a triangle?

a)

yes

b)

no

40.

Will these line segments form a triangle?

a)

yes

b)

no

41.

Will these side lengths form a triangle?

a)

yes

b)

no

42.
Determine if it is possible to form a triangle with the given side lengths. 7 yd, 8 yd, 9 yd
a)
yes
b)
no
43.

Does a triangle with these side lengths exist?

15, 12, 9

a)

Yes

b)

No

c)

I don't know.

d)

Cannot be determined

44.

Can the sides of a triangle have lengths 3, 4, and 9?

a)

Yes

b)

No

c)

I don't know

d)

Cannot be determined

45.

Which of the following would NOT work to make a triangle with the two side lengths of 2 and 6?

a)

6

b)

7

c)

5

d)

4

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