Inequalities in One or Two Triangles

∠A is opposite which side?

The longest side is ​​ (a)   and the shortest side is ​ ​ (b)  

The longest side of the triangle is ​ (a)  

and the shortest side is ​ ​ (b)  

Choose the list of angles from smallest to largest.

• Largest

• ∠T

• Middle

• ∠R

• Smallest

• ∠S

Choose the list of angles from smallest to largest.

• ∠J, ∠K, ∠L
• ∠J, ∠L, ∠K
• ∠L, ∠J, ∠K
• ∠L, ∠K, ∠J
• ∠K, ∠J, ∠L

What is a possible side length for ST?

• 6
• 7
• 8
• 9
• Cannot be determined

You are constructing a stage prop that shows a large triangular mountain. The bottom edge of the mountain is about 27 feet long, the left slope is about 24 feet long, and the right slope is about 20 feet long. you are told that one of the angles is about 46° and one is about 59°. What is the angle measure of the peak of the mountain?

• 46°
• 59°
• 75°
• 85°

Which group of side lengths can be used to construct a triangle?

Select all that apply.

• 4, 5, 8
• 5, 6, 12
• 10, 14, 28
• 3, 8, 13

Which group of side lengths can NOT be used to construct a triangle?

Select all that apply.

• 5, 9, 16
• 3, 7, 9
• 10, 12, 21
• 15, 19, 30

Select the given side lengths that WILL form a triangle.

Select all that apply.

• 6, 7, 11
• 3, 6, 9
• 28, 34, 39
• 35, 120, 125