7-4: Triangle Inequality Theorem

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

• 4, 4, 4

• 5, 5, 10

• 3, 6, 9

• 5, 7, 11

• 13, 5, 6

Which set of side lengths WILL form a triangle?

• 3, 6, 12

• 7, 7, 14

• 9, 9, 9

• 13, 6, 7

Determine if it is possible to form a triangle with the given side lengths. 15 in., 12 in., 2 in.

• yes
• no

Determine if it is possible to form a triangle with the given side lengths. 7 yd, 8 yd, 9 yd

• yes
• no

Can the following side measures form a triangle?
  3 ft, 5 ft, 8 ft 

• Yes
• No

Can the following side measures form a triangle?
  4 cm, 7 cm, 10 cm 

• Yes
• No

Which of the following DOES NOT represent the lengths of the sides of a triangle?

• 2 cm, 6 cm, 7 cm

• 5 cm, 2 cm, 5 cm

• 5 cm, 5 cm, 8 cm

• 3 cm, 10 cm, 15 cm

Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 ft, 13 ft

• 6 < x < 20

• 7 < x < 13

• 6 < x < 13

• 7 < x < 20

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

• 4 < x < 7

• 4 < x < 11

• 3 < x < 7

• 3 < x < 11

What is the range of values of x for a triangle's third side given side measures of 8 and 15?

• 8 < x < 15

• 7 < x < 23

• 8 < x < 23

• 7 < x < 15