Triangle Inequalities

Can a triangle be formed with sides of

6, 9, and 11?

• Yes

• No

Can a triangle be formed with sides of

9, 12, and 22?

• Yes

• No

Can a triangle be formed with sides of

7, 6, and 12?

• Yes

• No

Can a triangle be formed with sides of

15, 8, and 7?

• Yes

• No

Can a triangle be formed with sides of

10, 9, and 2?

• Yes

• No

Two side measures of a triangle are given. What is the range of values for the third side?

9 and 7

• 6 < x < 14

• 2 < x < 13

• 2 < x < 16

• 2 < x < 15

Two side measures of a triangle are given. What is the range of values for the third side?

8 and 9

• 5 < x < 17

• 5 < x < 13

• 2 < x < 17

• 1 < x < 17

Two side measures of a triangle are given. What is the range of values for the third side?

6 and 10

• 4 < x < 13

• 5 < x < 14

• 4 < x < 16

• 5 < x < 16

Two side measures of a triangle are given. What is the range of values for the third side?

9 and 9

• 4 < x < 17

• 0 < x < 18

• 1 < x < 17

• 0 < x < 14

List the lengths of the sides of the triangle in order from smallest to largest.

• JK < JL < KL

• JL < KL < JK

• JK < KL < JL

• KL < JL < JK