Side Angle Inequalities in Triangles

In ∆LMN, the measure of ∠L is 51° and the measures of ∠M is 48°. Which of the following inequalities concerning the lengths of the sides of ∆LMN is true?

• MN>LM

• LN+MN<LM

• LN>MN

• LM>LN

Which of the following statements must be true?

• RS > XY

• RS < XY

• ST < XZ

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

• 10.5

• 15

• 21

• 28

• AB>AC

• AB<AC

• AB=AC

• No conclusion can be made

The smallest angle would be located where in a triangle?

• Across from the smallest side.

• Across from the largest side

• Cannot tell

Name the smallest angle in this triangle.

• ∠A

• ∠B

• ∠C

Order the sides from greatest to least

• a , b , c

• b , c , a

• c , b , a

• a , c , b

What are the possible values for x?

• x < 16

• 4 < x < 16

• x < 40

• 4 < x < 40

Where would the largest side of a triangle be located?

• Across from the largest angle.

• Across from the smallest angle.

• Next to the smallest side.

• Across the smallest side.