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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.
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
Is it possible to form a triangle with side lengths 6 m, 7 m, and 18 m?
- AThere is not enough information to tell.
A triangle has sides of lengths 5 cm, 8 cm, and cm. State the range of values that could take.
What is the range of possible perimeters, , of the given figure if and ?
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
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
Which of the following lists of numbers is NOT the lengths of sides of a triangle?
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