# Lesson Worksheet: The Triangle Inequality Mathematics

In this worksheet, we will practice defining the triangle inequality and identifying whether the given side lengths are valid for constructing a triangle.

Q1:

Complete the sentence: The sum of the lengths of any two sides in a triangle is the length of the other side.

• Aless than
• Bequal to
• Cgreater than

Q2:

Is it possible to form a triangle with side lengths 6 m, 7 m, and 18 m?

• AThere is not enough information to tell.
• BNo
• CYes

Q3:

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

• A
• B
• C

Q4:

Find the range of all possible values of if cm, 2 cm, and 25 cm represent the lengths of the sides of a triangle.

• A
• B
• C
• D
• E

Q5:

A triangle has sides of lengths 5 cm, 8 cm, and cm. State the range of values that could take.

• A
• B
• C
• D
• E

Q6:

What is the range of possible perimeters, , of the given figure if and ? • A
• B
• C
• D
• E

Q7:

The perimeter of a triangle is 128 cm and the length of one of the sides is 22 cm. Which of the following can be the lengths of the other two sides?

• A41 cm, 65 cm
• B64 cm, 42 cm
• C60 cm, 46 cm
• D66 cm, 40 cm

Q8:

Is the length of any side in a triangle less than, equal to or greater than the sum of the length of the other two sides?

• Aequal to
• Bgreater than
• Cless than

Q9:

Which of the following lists of numbers is NOT the lengths of sides of a triangle?

• A
• B
• C
• D

Q10:

Which of the following could be side lengths of a triangle?

• A7 cm, 36 cm, and 43 cm
• B13 cm, 18 cm, and 43 cm
• C13 cm, 36 cm, and 43 cm

This lesson includes 12 additional questions and 117 additional question variations for subscribers.