Finding Missing Sides (Grade 8 Geometry)

A Grade 8 math worksheet focusing on finding missing sides of right-angled triangles using the Pythagorean theorem and similar triangles.

Grade 8 Math GeometryFinding Missing Sides

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.8.G.B.7CCSS.MATH.CONTENT.8.G.A.5

7 sections · Free to use · Printable

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Finding Missing Sides

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Read each question carefully and determine the missing side length. Show all your work.

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

2. 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?

3. In a right-angled triangle, if the hypotenuse is 13 units and one leg is 5 units, the other leg is units.

4. A television screen has a diagonal of 50 inches. If its height is 30 inches, its width is inches.

5. Triangle ABC is similar to Triangle DEF. If AB = 4, BC = 6, and DE = 8, find the length of EF.

6. A flagpole casts a shadow 15 feet long. At the same time, a 6-foot tall person casts a 3-foot shadow. How tall is the flagpole?

20 feet

25 feet

30 feet

35 feet

7. The Pythagorean theorem can be used to find missing sides in any triangle.

True

False