5.5 Inequalities in a Triangle

List the angles of this triangle from smallest to largest.

• <A, <B, <C

• <B, <A, <C

• <B, <C, <A

• <C, <A, <B

• <C, <B, <A

List the sides of this triangle from smallest to largest.

• JK, JL, KL

• JL, JK, KL

• JL, KL, JK

• KL, JK, JL

• KL, JL, JK

How many degrees is m<M?

• 57°

• 60°

• 61°

• 62°

• 118°

Which angle is the largest angle?

• <K

• <L

• <M

• Impossible to figure out.

Which side is the largest side?

• KL

• KM

• LM

• Impossible to figure out.

Decide whether the three numbers listed could be lengths of sides of an actual triangle AND what number should you use to decide?

5, 12, 13

• Yes, 17

• Yes, 25

• No, 17

• No, 25

Decide whether the three numbers listed could be lengths of sides of an actual triangle AND what number should you use to decide?

7, 8, 25

• Yes, 15

• Yes, 33

• No, 15

• No, 33

Decide whether the three numbers listed could be lengths of sides of an actual triangle AND what number should you use to decide?

13, 11, 12

• Yes, 23

• Yes, 24

• No, 23

• No, 24

Decide whether the three numbers listed could be lengths of sides of an actual triangle AND what number should you use to decide?

61, 4, 57

• Yes, 61

• Yes, 65

• No, 61

• No, 65

If two of the sides of a triangle are 15 and 32, describe the possible lengths of the third side.

• The third side must be between 15 and 32.

• 17 < 3rd side < 47

• 23 < 3rd side < 51

• 2 < 3rd side < 165