Pythagorean Theorem Worksheet

Grade 8 math worksheet on the Pythagorean theorem, including finding missing sides, identifying right triangles, and solving word problems.

Grade 8 Math TrigonometryPythagorean Theorem

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Includes

3 Short AnswerMultiple ChoiceFill in the Blanks

Standards

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

Topics

Pythagorean TheoremGrade 8MathGeometryTriangles

7 sections · Free to use · Printable

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Pythagorean Theorem Practice

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Read each question carefully and answer to the best of your ability. Show all work where applicable.

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

2. A right triangle has a hypotenuse of 13 inches and one leg measuring 5 inches. Find the length of the other leg (b).

3. Which set of side lengths could form a right triangle?

3, 4, 6

7, 8, 10

5, 12, 13

2, 3, 4

4. The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the two legs (a and b). This can be written as the equation: .

5. The longest side of a right triangle is called the .

6. A 15-foot ladder is leaning against a wall. The base of the ladder is 9 feet from the wall. How high up the wall does the ladder reach?