5.4 Triangle Inequality Theorem

Can these sides form a triangle? 2, 9, 5

• Yes

• No

Can these sides form a triangle? 6, 4, 4

• Yes

• No

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

Name a possible length for the third side of a triangle with sides 11 and 19.

If the measures of 2 sides of a triangle are 57 and 32, what is the LEAST possible measure of the third side if the measure is an integer?

• 25

• 26

• 88

• 89

If the longest side of the triangle was 10. Then the two shorter sides must have a sum that is ....?

• any length
• equal to 10
• greater than 10
• less than 10

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

• yes
• no

Identify the longest side measure.

• AC
• BA
• BC

Will these three sides form a triangle?

• yes

• no

Will these line segments form a triangle?

• yes

• no