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Pythagorean Theorem Practice

Grade 9 math worksheet focusing on applying the Pythagorean Theorem to find missing side lengths in right-angled triangles.

Grade 9 Math TrigonometryPythagorean Theorem
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Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

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

Topics

MathGrade 9Pythagorean TheoremGeometryTrigonometry
8 sections · Free to use · Printable
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Pythagorean Theorem Practice

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Read each question carefully and use the Pythagorean Theorem to solve for the missing side length. Show all your work. Round your answers to two decimal places where necessary.

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

6 cm8 cmc

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

5 inb13 in

3. The Pythagorean Theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the   of the squares of the other two sides.

4. If a triangle has side lengths of 3, 4, and 5, it is a   triangle.

5. Which of the following sets of side lengths could form a right-angled triangle?

a

7, 8, 9

b

6, 9, 12

c

5, 12, 13

d

4, 5, 6

6. The Pythagorean Theorem can be used for any type of triangle.

T

True

F

False

7. A ladder is leaning against a wall. The base of the ladder is 4 feet away from the wall, and the ladder reaches 10 feet up the wall. How long is the ladder to the nearest tenth of a foot?

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