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Pythagorean Theorem Worksheet

A Grade 12 math worksheet focusing on applying the Pythagorean Theorem to solve problems involving right triangles and real-world scenarios.

Grade 12 Math TrigonometryPythagorean Theorem
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

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

Topics

Pythagorean TheoremTrigonometryRight TrianglesGeometryGrade 12 Math
7 sections · Free to use · Printable
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Pythagorean Theorem: Grade 12 Applications

Name:

Date:

Score:

Read each question carefully and show all your work. Use the Pythagorean Theorem to solve for unknown side lengths in right triangles. Round your answers to two decimal places where necessary.

1. Find the length of the hypotenuse of a right triangle with legs measuring 9 cm and 12 cm.

9 cm12 cmc

2. If a ladder 15 feet long is leaning against a wall and reaches a window 12 feet high, the distance from the base of the wall to the bottom of the ladder is   feet.

3. A rectangular garden has a length of 20 meters and a width of 15 meters. What is the length of the diagonal path across the garden?

a

25 meters

b

35 meters

c

18.03 meters

d

28.30 meters

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

T

True

F

False

5. A television screen is advertised as having a 50-inch diagonal. If the screen's height is 24 inches, what is its width?

50 incheswidth24 inches

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