6E Inequalities In a Triangle

Which of the following combinations could be the lengths of the sides of a triangle?

• 4 ft, 9 ft, 5 ft

• 3 ft, 2 ft, 6 ft

• 24 ft, 13 ft, 12 ft

• 14 ft, 5 ft, 8 ft

Two sides of a triangle are 8 in and 13 in. Which inequality represents the possible lengths of the third side?

• 8 < x < 13

• 8 < x < 21

• 5 < x < 13

• 5 < x < 21

List the lengths of the sides in order from shortest to longest.

• BC, AB, AC

• BC, AC, AB

• AC, AB, BC

• AC, AB, BC

List the angles in order from largest to smallest.

• ∠A, ∠B, ∠C

• ∠B, ∠A, ∠C

• ∠B, ∠C, ∠A

• ∠C, ∠A, ∠B

The longest side of a triangle would be located where on a triangle?

• Across from the smallest angle.

• Across from the largest angle.

• Cannot tell.

• Adjacent to the smallest side.

Where would the largest angle of a triangle be located?

• Across from the longest side.

• Across from the shortest side.

• Cannot tell.

• The angle on top.

Do the following side lengths form a triangle?
3, 10, 7

• Yes
• No

Tags

CCSS.7.G.A.2

Describe the possible lengths for the third side of the triangle given the two sides 9 and 22.

• 13 < x < 31
• 13 > x > 31
• 31 > x < 13
• 31 < x < 13

What is a possible third side to a triangle with side lengths of 13 and 4?

• 9
• 12
• 8
• 5

Tags

CCSS.7.G.A.2

Which of the following would NOT work to make a triangle with the two side lengths of 2 and 6?

• 6
• 7
• 5
• 4

Tags

CCSS.7.G.A.2