5-5 Triangle Inequality Theorem

In order to form a triangle, the sum of two sides MUST be ​ (a)   the length of the third side.

• greater than
• less than
• equal to

In order to show it is not possible to form a triangle only​ (a)   of the inequalities needs to be false.

• 1
• 2
• 3
• 0

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 of the following sets could form a triangle? Choose ALL that apply.

• 15, 12, 9

• 20, 10, 9

• 5, 10, 15

• 12, 2.4, 14.3

• None of the options will form a triangle.

Which of the following sets could form a triangle? Choose ALL that apply.

• 9, 6, 16

• 2, 5, 13

• 4, 4, 8

• 17, 4, 1

• None of the options will form a triangle.

Will these line segments form a triangle?

• yes

• no

Using the attached image, order the side lengths from smallest to largest.

Using the attached image, order the side lengths from smallest to largest.

Using the attached image, order the side lengths from smallest to largest.

Using the attached image, order the angles from smallest to largest.

• ∠R

• ∠P

• ∠Q