Pythagorean Theorem Applications

This video tutorial covers three types of Pythagorean theorem word problems. It emphasizes the importance of drawing diagrams to understand and solve problems. The first problem involves calculating the distance walked by a team during a wilderness exercise. The second problem requires determining the length of a wire to support an ivy vine on a fence. The third problem involves finding the length of diagonal braces for a deck. The video demonstrates using the Pythagorean theorem to solve these problems, highlighting the formula a² + b² = c².

What is the most important step when solving a word problem involving the Pythagorean Theorem?

• Memorizing the formula

• Drawing a picture

• Using a calculator

• Writing down all given numbers

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CCSS.4.MD.A.2

In the first example, how far did Samantha's team walk?

• 400 miles

• 500 miles

• 600 miles

• 700 miles

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CCSS.5.G.A.2

What is the distance between Samantha's and Gordon's teams after some time?

• 500 miles

• 600 miles

• 800 miles

• 700 miles

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CCSS.4.MD.A.2

How far did Gordon's team walk?

• 489.9 miles

• 500 miles

• 600 miles

• 700 miles

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CCSS.2.MD.B.5

What is the length of the fence in Mark's ivy vine problem?

• 180 centimeters

• 90 centimeters

• 120 centimeters

• 150 centimeters

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CCSS.4.MD.A.2

What is the height of the fence in Mark's ivy vine problem?

• 180 centimeters

• 150 centimeters

• 120 centimeters

• 90 centimeters

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CCSS.2.MD.A.3

How long does the wire need to be in Mark's ivy vine problem?

• 150 centimeters

• 130 centimeters

• 120 centimeters

• 140 centimeters

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CCSS.3.MD.D.8

What are the dimensions of Lucy's deck?

• 8 meters by 6 meters

• 5 meters by 3 meters

• 7 meters by 5 meters

• 6 meters by 4 meters

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CCSS.8.G.B.8

How long should each diagonal brace be under Lucy's deck?

• 11 meters

• 8 meters

• 9 meters

• 10 meters

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CCSS.8.G.B.8

What is the key takeaway for solving Pythagorean Theorem word problems?

• Memorize the formula

• Write down all given numbers

• Draw pictures to visualize the problem

• Use a calculator

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CCSS.8.G.B.8