Warm Up Triangle Inequality

Does a triangle with these side lengths exist?

15, 12, 9

• Yes

• No

• I don't know.

• Cannot be determined

Can the sides of a triangle have lengths 3, 4, and 9?

• Yes

• No

• I don't know

• Cannot be determined

Which of the following would NOT work to make a triangle with the two side lengths of 2 and 6?

• 6

• 7

• 5

• 4

Which set of numbers may represent the lengths of the sides of a triangle?

• {2,5,9}
• {6,6,7}
• {6,4,2}           
• {7,8,1}

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

• 32, 34, 60
• 28, 30, 58
• 13, 20, 27
• 2, 4, 5

Identify the shortest side measure.

• QP
• QM
• MP

Identify the longest side measure.

• AC
• BA
• BC

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

• between 8 and 15
• between 7 and 23
• less than 7, greater than 23

What is the range of values of x for a triangle's third side given side measures of 4 and 12?

• between 8 and 16
• less than 4, greater than 12
• between 4 and 12

Name the smallest angle in this triangle.

• ∠A
• ∠B
• ∠C