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Worksheets

Triangle Inequalities (Part 2)

Total questions: 12

Worksheet time: 3hrs 0mins

Name
Class
Date
1.

Put the angles in order from Largest to Smallest.

a)

A, B, C\angle A,\ \angle B,\ \angle C

b)

B, C, A\angle B,\ \angle C,\ \angle A

c)

A, C, B\angle A,\ \angle C,\ \angle B

d)

C, A, B\angle C,\ \angle A,\ \angle B

2.

Put the angles in order from Largest to Smallest.

a)

D, E, F\angle D,\ \angle E,\ \angle F

b)

F, E, D\angle F,\ \angle E,\ \angle D

c)

E, F, D\angle E,\ \angle F,\ \angle D

d)

D, F, E\angle D,\ \angle F,\ \angle E

3.

Put the angles in order from Largest to Smallest.

a)

J, H, G\angle J,\ \angle H,\ \angle G

b)

H, J, G\angle H,\ \angle J,\ \angle G

c)

J, G, H\angle J,\ \angle G,\ \angle H

d)

G, J, H\angle G,\ \angle J,\ \angle H

4.

List the angles of  ΔABC\Delta ABC  from smallest to largest.


 AB\overline{AB}  = 17,  BC\overline{BC}  = 21,  AC\overline{AC}  = 18

a)

 A, B, C\angle A,\ \angle B,\ \angle C 

b)

 C, B, A\angle C,\ \angle B,\ \angle A 

c)

 C, A, B\angle C,\ \angle A,\ \angle B 

d)

 B, C, A\angle B,\ \angle C,\ \angle A 

5.

List the angles of  ΔABC\Delta ABC  from smallest to largest.


 AB\overline{AB}  = 15,  BC\overline{BC}  = 17,  AC\overline{AC}  = 16

a)

 A, B, C\angle A,\ \angle B,\ \angle C 

b)

 C, B, A\angle C,\ \angle B,\ \angle A 

c)

 C, A, B\angle C,\ \angle A,\ \angle B 

d)

 B, C, A\angle B,\ \angle C,\ \angle A 

6.

List the sides in order from shortest to longest. 

a)

 AB\overline{AB}  ,  BC\overline{BC}  ,  AC\overline{AC}  

b)

 BC\overline{BC}  ,  AB\overline{AB}  ,  AC\overline{AC}  

c)

 AB\overline{AB}  ,  AC\overline{AC}  , BC\overline{BC}  

d)

 AC\overline{AC}  ,  BC\overline{BC}  ,  AB\overline{AB}  

7.

List the sides in order from shortest to longest.

a)

DF\overline{DF} , EF\overline{EF} , DE\overline{DE}

b)

DE\overline{DE} , DF\overline{DF} , EF\overline{EF}

c)

DF\overline{DF} , DE\overline{DE} , EF\overline{EF}

d)

EF\overline{EF} , DF\overline{DF} , DE\overline{DE}

8.

List the sides in order from shortest to longest.

a)

BC\overline{BC} , AB\overline{AB} , AC\overline{AC}

b)

AC\overline{AC} , BC\overline{BC} , AB\overline{AB}

c)

AB\overline{AB} , AC\overline{AC} , BC\overline{BC}

d)

AB\overline{AB} , BC\overline{BC} , AC\overline{AC}

9.

List the sides of  ΔABC\Delta ABC  in order from LONGEST to SHORTEST.


 mA=46°, mB=30°m\angle A=46\degree,\ m\angle B=30\degree  

a)

BC\overline{BC} , AB\overline{AB} , AC\overline{AC}

b)

AC\overline{AC} , BC\overline{BC} , AB\overline{AB}

c)

AB\overline{AB} , AC\overline{AC} , BC\overline{BC}

d)

AB\overline{AB} , BC\overline{BC} , AC\overline{AC}

10.

List the sides of  ΔABC\Delta ABC  in order from LONGEST to SHORTEST.


 mC=101°, mB=70°m\angle C=101\degree,\ m\angle B=70\degree  

a)

BC\overline{BC} , AB\overline{AB} , AC\overline{AC}

b)

AC\overline{AC} , BC\overline{BC} , AB\overline{AB}

c)

AB\overline{AB} , AC\overline{AC} , BC\overline{BC}

d)

AB\overline{AB} , BC\overline{BC} , AC\overline{AC}

11.

List the sides of  ΔABC\Delta ABC  in order from LONGEST to SHORTEST.


 mA=59°, mC=61°m\angle A=59\degree,\ m\angle C=61\degree  

a)

BC\overline{BC} , AB\overline{AB} , AC\overline{AC}

b)

AC\overline{AC} , BC\overline{BC} , AB\overline{AB}

c)

AB\overline{AB} , AC\overline{AC} , BC\overline{BC}

d)

AB\overline{AB} , BC\overline{BC} , AC\overline{AC}

12.

List the angles of  ΔABC\Delta ABC  from smallest to largest.


 AB\overline{AB}  = 70,  BC\overline{BC}  = 57,  AC\overline{AC}  = 62

a)

 A, B, C\angle A,\ \angle B,\ \angle C 

b)

 C, B, A\angle C,\ \angle B,\ \angle A 

c)

 C, A, B\angle C,\ \angle A,\ \angle B 

d)

 B, C, A\angle B,\ \angle C,\ \angle A