Triangle Inequality Theorem

​Triangle Inequality Theorem

By Jenine Daly

Poll

Can a triangle be formed by three segments of any given length?

• Yes, 3 sides always make a triangle.

• No, it's possible to have 3 sides that won't form a triangle.

• I don't know

Link to animation.

Multiple Choice

Is it possible to make a triangle with the side lenths of 4, 8, and 12?

• Yes

• No

• Not enough information

• Too much information

Multiple Choice

State if the three numbers can be measures of the sides of a triangle.
$$8,10,20$$  

• Yes

• No

Multiple Choice

Will these line segments form a triangle?

• yes

• no

Multiple Choice

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

• 6

• 7

• 5

• 4

Multiple Choice

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}

Multiple Choice

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