Geometry Quiz 5.1 & 5.2: Triangle Inequalities

Can a triangle be formed with side lengths:
4, 7, 10

• yes
• no
• not enough information

Can a triangle be formed with side lengths:
10, 12, 22

• yes
• no
• not enough information

Can a triangle be formed with side lengths:
17, 9, 30

• yes
• no
• not enough information

Does a triangle with these side lengths exist?
15, 12, 9

• Yes
• No
• I don't know.

Select ALL of the following sets of side lengths that will make a triangle.

• 7, 15, 17

• 8, 12, 16

• 3, 5, 10

• 4, 5, 10

• 22, 11, 11

What is the range of possible values for x?

• 6 < x < 12

• 3 < x < 9

• 6 < x < 9

• 3 < x < 12

What is the range of possible values for x?

• 2.8 < x < 5.4

• 1.3 < x < 4.1

• 2.8 < x < 4.1

• 1.3 < x < 5.4

Two sides of a triangle have side lengths of 17 meters and 12 meters.  What is the range of possible lengths for the third side?

• 12 < x < 17
• 12 < x < 29
• 5 < x < 17
• 5 < x < 29

What is a possible third side to a triangle with side lengths of 13 and 4?

• 9
• 12
• 8
• 5

What is a possible third side to a triangle with side lengths of 5 and 5?

• 9
• 10
• 11
• 12