Pythagorean Theorem Worksheet

Grade 10 Math worksheet covering the Pythagorean Theorem, its applications, and solving for unknown sides in right-angled triangles.

Grade 10 Math TrigonometryPythagorean Theorem

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Includes

4 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.8.G.B.7CCSS.MATH.CONTENT.HSG.SRT.C.8

Topics

Pythagorean TheoremRight TriangleHypotenuseLegsGrade 10 Math

9 sections · Free to use · Printable

Pythagorean Theorem Practice

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Read each question carefully and show all your work. Round your answers to two decimal places where necessary.

1. State the Pythagorean Theorem using the variables a, b, and c, and explain what each variable represents in a right-angled triangle.

2. In a right-angled triangle, the side opposite the right angle is called the , and the other two sides are called the .

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

4. A right-angled triangle has a hypotenuse of 13 inches and one leg of 5 inches. Find the length of the other leg.

5. A ladder 10 feet long is leaning against a wall. If the base of the ladder is 6 feet from the wall, how high up the wall does the ladder reach?

4 feet

8 feet

12 feet

16 feet

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

True

False

7. A rectangular field is 90 meters long and 60 meters wide. What is the length of the diagonal across the field?