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

List the side measures in order, shortest to longest.

• QM, QP, MP
• MQ, MP, QP
• MP, MQ, QP

Will these side lengths form a triangle?

• yes

• no

Identify the longest side measure.

• LM
• MQ
• LQ

Find the range of possible lengths for the third side.

2.5, 7.25, x

• 4.75 < x < 9.75

• 9.75 < x < 4.75

• 4.75 > x > 9.75

Which of these lengths CANNOT represent the sides of a triangle?

• 32, 34, 60

• 28, 30, 58

• 13, 20, 27

• 2, 4, 5

Find the range of possible lengths for the third side.

88, 99, x

• 1.125 < x < 8712

• 187 < x < 11

• 11 < x < 187

Will these three sides form a triangle?

• yes

• no

Identify the largest angle.

• ∠N
• ∠Q
• ∠P

Identify the smallest angle.

• ∠A
• ∠B
• ∠C