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Triangle Side Lengths Worksheet

Explore properties of triangle side lengths, including the triangle inequality theorem and Pythagorean theorem, with this Grade 8 math worksheet.

Grade 8 Math GeometryGeometry 2D ShapesTrianglesTriangle Side Lengths
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.8.G.B.7CCSS.MATH.CONTENT.8.G.B.6

Topics

mathgeometrytrianglesside lengthsPythagorean theoremtriangle inequality
7 sections · Free to use · Printable
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Triangle Side Lengths

Name:

Date:

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Read each question carefully and answer to the best of your ability. Show all your work for full credit.

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

a

3 cm, 4 cm, 5 cm

b

6 cm, 8 cm, 10 cm

c

2 cm, 5 cm, 10 cm

d

7 cm, 7 cm, 7 cm

2. For a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. This is known as the   Theorem.

3. Find the length of the hypotenuse (c) for a right triangle with legs a = 6 cm and b = 8 cm.

6 cm8 cmc

4. A triangle with side lengths 5, 12, and 13 is a right-angled triangle.

T

True

F

False

5. A ladder is leaning against a wall. The base of the ladder is 5 feet from the wall, and the ladder reaches 12 feet up the wall. How long is the ladder?

12 ft5 ft?

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