Exploring the Triangle Inequality Theorem

What do the numbers on the strips represent in the context of the triangle formation?

• The width of the strips

• The color of the strips

• The length of the strips in centimeters

• The weight of the strips

Why do the sides 2 and 1 fail to form a triangle with side 6?

• Because 2 and 1 are equal

• Because 2 and 1 are less than 6

• Because 2 and 1 are not integers

• Because 2 and 1 are greater than 6

Which of the following side lengths will form a triangle?

• 2, 3, 6

• 1, 2, 3

• 5, 5, 6

• 2, 4, 6

What is the rule for determining if three side lengths can form a triangle?

• The difference between any two sides must be greater than the third side

• All sides must be equal

• The sum of the two shorter sides must be greater than the longest side

• The sum of any two sides must be less than the third side

Why can't sides 4, 6, and 10 form a triangle?

• Because 4 and 6 are not integers

• Because 4 and 6 are greater than 10

• Because 4 and 6 are less than 10

• Because 4 and 6 are equal

What happens if the sum of the two shorter sides is equal to the longest side?

• A triangle is formed

• A line segment is formed

• A square is formed

• A circle is formed

Given sides 3 and 6, what is the range for the third side to form a triangle?

• Between 6 and 9

• Between 3 and 9

• Between 3 and 6

• Between 0 and 9

For sides 5 and 10, what is the upper limit for the third side?

• 5

• 20

• 15

• 10

If you have sides 7 and 11, what is the lower limit for the third side?

• 11

• 7

• 18

• 4

What is the range for the third side if the given sides are 7 and 19?

• Between 12 and 26

• Between 7 and 19

• Between 12 and 19

• Between 7 and 26