Triangle Inequality Theorem Word Problems

Which pipe lengths could be joined to form a triangle?

• 15 ft, 6, ft, 5 ft

• 13 ft, 12 ft, 5ft

• 40 ft, 20 ft, 10 ft

• 19 ft, 16 ft, 2 ft

Tags

CCSS.7.G.A.2

Jennifer made these measurements on triangle ABC. BC must be —

• less than 10 inches

• between 10 and 12 inches

• between 12 and 22 inches

• greater than 22 inches

John wants to make a triangular garden. Which of the following are possible dimensions?

• 4 ft by 5 ft by 10 ft

• 6 ft by 6 ft by 12 ft

• 6 ft by 8 ft by 10 ft

• 8 ft by 12 ft by 20 ft

Tags

CCSS.7.G.A.2

Two sides of a triangle measure 14 inches and 8 inches. Which cannot be the length of the remaining side?

• 6 in.

• 8 in.

• 14 in.

• 21 in.

The diagram shows the locations of Noah and Ben after swimming in different directions from a dock. Let d be the distance between Noah and Ben, in yards. Which represents all the possible values, in yards, of d?

• 0 < d < 105

• 0 < d < 147

• 21 < d < 147

• 63 < d < 84

Mrs. Barto has a pet rabbit and wants to build a pen for it. She has 3 pieces of lumber: one is 3 ft, one is 7 ft, and the other is 8 ft long. Can she build a closed triangular pen with these three boards?

• Yes

• No

Tags

CCSS.7.G.A.2

The measures of a triangular shaped garden are 2 yards and 7 yards. What is the least possible measure of the third side if the measure is an integer?

Ginger will build a structure in the shape of a scalene triangle. The perimeter of the triangular structure must be 42 inches. Select the two numbers that could each represent the length of the longest side, in inches, of this structure.

• 10

• 14

• 15

• 20

• 21