Triangle Side Lengths Worksheet

Explore properties of triangle side lengths, including the Triangle Inequality Theorem, with various problem types for Grade 7 math students.

Grade 7 Math GeometryGeometry 2D ShapesTrianglesTriangle Side Lengths

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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.7.G.A.2

Topics

mathgeometrytrianglesside lengthsgrade 7

7 sections · Free to use · Printable

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Triangle Side Lengths

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Read each question carefully and answer to the best of your ability. Remember the Triangle Inequality Theorem: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

1. Which set of side lengths CANNOT form a triangle?

3 cm, 4 cm, 5 cm

6 cm, 8 cm, 10 cm

2 cm, 3 cm, 6 cm

7 cm, 7 cm, 7 cm

2. If two sides of a triangle measure 5 inches and 12 inches, which of the following could be the length of the third side?

5 inches

7 inches

17 inches

15 inches

3. The sum of the lengths of any two sides of a triangle must be than the length of the third side.

4. If a triangle has sides of length 8 cm and 15 cm, the third side must be between cm and cm.

5. A triangle has side lengths of 10 units and 10 units. What are the possible whole number lengths for the third side?

6. Draw a triangle with side lengths 4 cm, 6 cm, and 7 cm. Label the sides.

7. A triangle can have side lengths of 1 cm, 2 cm, and 3 cm.

True

False

8. If two sides of a triangle are equal, then the third side must also be equal to them.

True

False

9. Consider a triangle with two sides measuring 9 meters and 13 meters. Let 'x' represent the length of the third side. Write an inequality that describes the possible values for 'x'.

10. Sarah is building a triangular garden. She has two fences that are 10 feet and 18 feet long. What is the range of possible lengths for the third fence?