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Worksheets

All Things Triangles

Total questions: 31

Worksheet time: 41mins

Name
Class
Date
1.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
2.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
3.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
4.

A student is trying to construct triangles using four different sets of angles. The angles in each set are given below. Which set will form a triangle?

a)

45°, 65°, 70°

b)

150°, 110°, 100°

c)

50°, 50°, 50°

d)

90°, 90°, 90°

5.
Solve for x.
a)
7
b)
9
c)
-11
d)
-8
6.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
7.
Solve for x.
a)
6
b)
5
c)
-11
d)
4
8.
Can the following side measures form a triangle?
  3, 5, 8 
a)
Yes
b)
No
9.

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

10.

Will these line segments form a triangle?

a)

yes

b)

no

11.
Determine if it is possible to form a triangle with the given side lengths. 7 yd, 8 yd, 9 yd
a)
yes
b)
no
12.
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
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.
What is the range of values of x for a triangle's third side given side measures of 8 and 15?
a)
between 8 and 15
b)
between 7 and 23
c)
less than 7, greater than 23
15.

Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 mm, 4 mm

a)

3 < x < 11

b)

4 < x < 7

c)

7 < x < 4

d)

11 < x < 3

16.
Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 ft, 13 ft
a)
more than 6 but less than 20
b)
more than 20 but less than 6
c)
less than 6 but more than 20
17.

A triangle with 3 congruent sides is called a(n) ______

a)

Isosceles Triangle

b)

Equilateral Triangle

c)

Obtuse Triangle

d)

Irregular Triangle

18.

Classify this triangle by its sides and angles.

a)

acute & scalene

b)

right & scalene

c)

right & equilateral

d)

acute & equilateral

19.

Classify this triangle by its sides and angles.

a)

obtuse & isosceles

b)

obtuse & equilateral

c)

right & isosceles

d)

right & equilateral

20.

Classify this triangle by its sides and angles.

a)

right & scalene

b)

acute & isosceles

c)

right & isosceles

d)

acute & scalene

21.
What is an "Acute" Angle?
a)
Angle that measures 180
b)
An Angle that measures 90
c)
An angle that measures more than 90
d)
An angle that measures less than 90
22.
a)

equilateral

b)

isosceles

c)

scalene

23.
a)

acute

b)

obtuse

c)

right

24.

Name a possible length for the third side of a triangle with sides 4 and 7.

4 lines
25.
What is a possible third side to a triangle with side lengths of 5 and 5?
a)
9
b)
10
c)
11
d)
12
26.
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
27.
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
28.
What is the range of values of x for a triangle's third side given side measures of 8 and 15?
a)
between 8 and 15
b)
between 7 and 23
c)
less than 7, greater than 23
29.
Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 ft, 13 ft
a)
more than 6 but less than 20
b)
more than 20 but less than 6
c)
less than 6 but more than 20
30.
Does a triangle with these side lengths exist?
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
31.

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