Inequalities in Two Triangles

Can the following 3 numbers be side measures of a triangle

• Yes

• No

Identify the shortest side measure.

• QP

• QM

• MP

Identify the smallest angle.

• ∠A

• ∠B

• ∠C

Identify the largest angle.

• ∠N

• ∠Q

• ∠P

Which of the following relationships is true?

• m<d > m<c

• m<d < m<a

• m<d > m<b

• m<a < m<b

• 10.5

• 15

• 21

• 28

Identify the longest side measure.

• LM

• MQ

• LQ

In triangle ABC, the length of side AB is 10 inches and the length of side BC is 17 inches.  Which of the following could be the length of side AC?

• 16 inches

• 5 inches

• 32 inches

• 29 inches

Name the smallest angle in this triangle.

• ∠A

• ∠B

• ∠C

Two sides of a triangle have side lengths of 17 meters and 12 meters.  What is the range of possible lengths for the third side?

• 12 < x < 17

• 12 < x < 29

• 5 < x < 17

• 5 < x < 29