Lengths That Make a Triangle

Given ∠C = 36°, AB = 31°, and BC = 24°, how many triangles can be made?

• 0

• 1

• 2

• 3

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

Which of the following does not represent the lengths of the sides of a triangle?

• 2 cm, 6 cm, 7 cm

• 5 cm, 2 cm, 5 cm

• 5 cm, 5 cm, 8 cm

• 3 cm, 10 cm, 15 cm

Which set of numbers may represent the lengths of the sides of a triangle?

• {2,5,9}

• {6,6,7}

• {6,4,2}           

• {7,8,1}

The lengths of two sides are given (27, 39). What are the possible length of the third side? Between what two numbers

• Between 12 and 66

• Between 27 and 39

• Between 12 and 67

side lengths of 4,4,4 form a triangle

• True

• False

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

• 6

• 7

• 5

• 4

Which set of side lengths will make a triangle?

• 6, 8, 15

• 6,8,13

• 7, 7, 14

• 2, 6, 9

How many triangles can be created with the side lengths of 3 cm, 4cm, and 5 cm?

• Only 1 unique triangle

• multiple triangles

• no triangles

Does a triangle with these side lengths exist?

20, 10, 9

• Yes, only one

• No

• Yes, many