Distance Calculation Using the Pythagorean Theorem

The video tutorial explains how to find the shortest distance between two points, Caesar and Michaela, using the Pythagorean theorem. Caesar is located 29 miles west and Michaela 25 miles north of Bonnie Lake. By forming a right triangle with these distances as the legs, the hypotenuse represents the shortest distance between them. The tutorial walks through the calculation process, using the Pythagorean theorem to find the hypotenuse, and concludes with the approximate distance of 38.29 miles.

What is the distance between Caesar and Bonny Lake?

• 1466 miles

• 38.2 miles

• 29 miles

• 25 miles

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CCSS.HSG.GPE.B.7

In which direction is Michaela located from Bonny Lake?

• West

• North

• South

• East

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CCSS.1.G.A.1

CCSS.2.G.A.1

What geometric shape is formed by the positions of Caesar, Michaela, and Bonny Lake?

• Circle

• Square

• Right Triangle

• Rectangle

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CCSS.8.G.B.8

Which theorem is used to calculate the shortest distance between Caesar and Michaela?

• Theorem of Relativity

• Fundamental Theorem of Calculus

• Binomial Theorem

• Pythagorean Theorem

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CCSS.8.G.B.8

What is the formula for the Pythagorean Theorem?

• A^2 + B^2 = C

• A + B = C^2

• A^2 - B^2 = C^2

• A^2 + B^2 = C^2

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CCSS.8.G.B.8

What are the lengths of the legs in the right triangle formed?

• 25 miles and 1466 miles

• 38.2 miles and 25 miles

• 29 miles and 38.2 miles

• 29 miles and 25 miles

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CCSS.8.G.B.8

What is the sum of the squares of the legs in the triangle?

• 1466

• 1466.5

• 625

• 841

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CCSS.8.G.B.8

What is the approximate shortest distance between Michaela and Caesar?

• 1466 miles

• 38.2 miles

• 29 miles

• 25 miles

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CCSS.5.NBT.B.7

To what decimal place is the final distance rounded?

• Nearest tenth

• Nearest hundredth

• Nearest whole number

• Nearest thousandth

What is the significance of the hypotenuse in this problem?

• It is not used in the calculation

• It is the shortest side of the triangle

• It is the longest side of the triangle

• It is equal to one of the legs