WorksheetsTriangle Inequality and Angle Side Relationships
Total questions: 28
Worksheet time: 42mins
Name
Class
Date
1.
What is the largest angle?
a)
∠K
b)
∠L
c)
∠M
2.
What is the smallest side?
a)
EF
b)
FG
c)
EG
3.
a)
BC, AB, AC
b)
BC, AC, AB
c)
AB, AC, BC
d)
AC, AB, BC
4.
a)
∠N, ∠K, ∠Q
b)
∠K, ∠N, ∠Q
c)
∠Q, ∠K, ∠N
d)
∠K, ∠Q, ∠N
5.
What is the smallest angle?
a)
∠J
b)
∠K
c)
∠L
6.
Does a triangle with these side lengths exist?
15, 12, 9
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
7.
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
8.
Can the sides of a triangle have lengths 3, 4, and 9?
a)
Yes
b)
No
c)
I don't know
9.
What is a possible third side to a triangle with side lengths of 13 and 4?
a)
9
b)
12
c)
8
d)
5
10.
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
11.
A charter plane travels from Barrow, Alaska, to Fairbanks. From Fairbanks, it flies to Nome,
and then back to its starting point in Barrow.
Which of the three legs of the trip is
the longest?
and then back to its starting point in Barrow.
Which of the three legs of the trip is
the longest?
a)
Fairbanks to Nome
b)
Nome to Barrow
c)
Barrow to Fairbanks
d)
Anchorage to Fairbanks
12.
Three cell phone towers are shown at the right. The measure of angle M is 10° less than the measure of angle K. The measure of angle L is 1° greater than the measure of angle K. Which two towers are closest together?
a)
M and L
b)
L and K
c)
K and M
d)
L and J
13.
What is the largest angle?
a)
J
b)
K
c)
L
14.
What is the biggest side?
a)
EF
b)
FG
c)
EG
15.
What is the smallest side?
a)
LM
b)
MN
c)
LN
16.
What is the correct order of angles?
a)
m∡DFE > m∡FED > m∡EDF
b)
m∡EDF > m∡FED > m∡DFE
17.
Can the sides of a triangle have lengths 4, 11, and 13?
a)
Yes
b)
No
18.
What is a possible third side to a triangle with side lengths of 5 and 5?
a)
9
b)
10
c)
11
d)
12
19.
a)
IH
b)
JH
c)
HI
d)
IJ
20.
a)
AB
b)
BC
c)
CA
d)
AC
21.
a)
XY
b)
XZ
c)
ZY
d)
YW
22.
a)
P
b)
Q
c)
R
d)
S
23.
a)
GG
b)
FG
c)
EF
d)
EG
24.
a)
ST
b)
RS
c)
TS
d)
RT
25.
a)
KJ
b)
JI
c)
IK
d)
HI
26.
a)
A
b)
B
c)
C
d)
D
27.
a)
QR
b)
PQ
c)
PR
d)
SR
28.
a)
Q
b)
R
c)
S
d)
T
100 %
