The video tutorial explores solving word problems using the Pythagorean theorem. It covers three main examples: fitting a triangular shelf in a corner, determining if a tent meets height requirements, and calculating the height of a shipping box. The video emphasizes drawing diagrams and applying the theorem to find unknown side lengths in right triangles.

What theorem is used to solve the problems in the video?

• Theorem of calculus

• Euclidean theorem

• Quadratic theorem

• Pythagorean theorem

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CCSS.8.G.B.8

What is the purpose of using the converse of the Pythagorean theorem in the first problem?

• To identify the type of triangle based on side lengths

• To calculate the perimeter of the triangle

• To determine if the triangle is right-angled

• To find the area of the triangle

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CCSS.8.G.B.8

What is the shape of the shelf in the first problem?

• Circular

• Triangular

• Rectangular

• Square

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CCSS.1.G.A.1

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What is the result of applying the Pythagorean theorem to the first problem?

• The shelf's shape is not suitable for the corner

• The shelf fits perfectly in the corner

• The shelf is too large for the corner

• The shelf is too small for the corner

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CCSS.8.G.B.8

What is the minimum height requirement for the tent in the second problem?

• 9 feet

• 10 feet

• 12 feet

• 15 feet

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What did the calculation reveal about the tent's height in relation to the requirement?

• It is 1 foot short of the requirement

• It exceeds the requirement by 1 foot

• It exactly matches the requirement

• It meets the requirement

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CCSS.2.MD.A.3

How is the height of the tent determined in the second problem?

• By measuring directly

• Using the Pythagorean theorem

• Comparing to another tent

• Estimation

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CCSS.2.MD.A.3

What are the dimensions used to find the height of the shipping box?

• Diagonal of the base and diagonal of the box

• Length and diagonal of the box

• Width and length

• Height and width

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What is the missing length found in the shipping box problem?

• 19 inches

• 21 inches

• 20 inches

• 22 inches

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CCSS.8.G.B.8

What does the Pythagorean theorem help to find in these problems?

• Angles of triangles

• Unknown side lengths of right triangles

• Surface area of objects

• Volume of objects

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CCSS.8.G.B.8