Triangle Inequality Theorem Worksheet
Explore the Triangle Inequality Theorem with this worksheet for 8th graders, featuring various question types and real-world application problems.
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Triangle Inequality Theorem
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Read each question carefully and answer to the best of your ability. Show all your work where applicable.
1. In your own words, state the Triangle Inequality Theorem.
2. Which of the following sets of side lengths CAN form a triangle?
3 cm, 4 cm, 8 cm
5 cm, 7 cm, 12 cm
6 cm, 9 cm, 10 cm
2 cm, 2 cm, 5 cm
3. If two sides of a triangle are 10 inches and 15 inches, the length of the third side must be greater than inches and less than inches.
4. A triangle can have side lengths of 1 cm, 2 cm, and 3 cm.
True
False
5. A triangular garden has two sides measuring 7 feet and 11 feet. What is the possible range of lengths for the third side?
6. For the given side lengths, draw a sketch of a triangle if possible. If not possible, explain why.
Side lengths: 4, 5, 6
Side lengths: 2, 3, 7
7. Match each set of side lengths with whether they can form a triangle or not.
a. 5, 5, 5
i. Cannot form a triangle
b. 1, 2, 4
ii. Can form a triangle
c. 10, 20, 15
iii. Can form a triangle