9.2 Review - Triangle Inequality

1) 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

2) Does a triangle with these side lengths exist?

15, 12, 9

• Yes

• No

• I don't know.

3) Can the following side measures form a triangle?

3, 5, 8

• Yes

• No

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

• 32, 34, 60

• 28, 30, 58

• 13, 20, 27

• 2, 4, 5

5) Will these three sides form a triangle?

• yes

• no

6) Will these side lengths form a triangle?

• yes

• no

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

• more than 6 but less than 20

• more than 20 but less than 6

• less than 6 but more than 20

The sum of the lengths of any two sides of a triangle is _____ than the third side

• less

• greater

• equal

Mrs. Barto has a pet rabbit and wants to build a pen for it. She has 3 pieces of lumber: 3ft, 7ft, and 8ft. Can she build a closed triangular pen with these three boards? (Will these three sides make a triangle?)

• Yes

• No

Which side lengths would NOT form a triangle?

• {3,4,5}
• {2,5,9}
• {5,10,12}
• {7,9,11}