Applying the Pythagorean Theorem to Travel Problems

The video tutorial explains how to solve a geometry problem involving the distances between three houses. It begins by setting up the problem, then guides viewers through drawing a directional map to visualize the locations. The tutorial identifies the formation of a right triangle and applies the Pythagorean theorem to calculate the distance between two points. The session concludes with a brief discussion on simplifying the result.

How far west is Laura's house from Katie's?

• 6 miles

• 8 miles

• 10 miles

• 16 miles

Which direction does one travel from Katie's to Laura's house?

• East

• South

• North

• West

In which direction is Jennifer's house from Laura's?

• East

• South

• North

• West

How is the direction 'south' represented in the map drawn?

• Downwards

• Upwards

• To the right

• To the left

What shape is formed by the locations of the three houses?

• Circle

• Equilateral Triangle

• Right Triangle

• Square

What are the lengths of the sides forming the right angle in the triangle?

• 8 miles and 6 miles

• 5 miles and 12 miles

• 10 miles and 14 miles

• 6 miles and 10 miles

What theorem is used to calculate the distance between Jennifer's and Katie's houses?

• Fermat's Last Theorem

• Pythagorean Theorem

• Binomial Theorem

• Euler's Formula

What is the distance between Jennifer's and Katie's houses?

• 10 miles

• 12 miles

• 14 miles

• Square root of 136 miles

What does the hypotenuse of the triangle represent in this problem?

• The distance from Katie's to Jennifer's house

• The distance from Laura's to Jennifer's house

• The distance from Katie's to Laura's house

• The distance from Jennifer's to Katie's house

What values are squared in the Pythagorean theorem application?

• 10 and 16

• 6 and 10

• 6 and 136

• 10 and 136