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# 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

**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