A jogger running around a rectangular park takes a shortcut back to her car by jogging from one corner of the park to the diagonally opposite corner. If the park is 33 meters by 44 meters, how far is the shortcut?

Question

Mathematics

Raina Ortiz

2 November, 17:14

A jogger running around a rectangular park takes a shortcut back to her car by jogging from one corner of the park to the diagonally opposite corner. If the park is 33 meters by 44 meters, how far is the shortcut?

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Answers (1)

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Mario Lutz · Answer 1

Answer:the short cut is 55 meters.

Step-by-step explanation:

The park around which the jogger jogged is rectangular in shape. The Short cut that the jogger jogged through to her car is the diagonal of the rectangle. The diagonal becomes the hypotenuse of the rectangle. The sides of the field becomes the opposite side and adjacent side of the triangle. To determine the length of the diagonal, we would apply Pythagoras theorem. It is expressed as

Hypotenuse^2 = opposite side^2 + adjacent side^2

Hypotenuse^2 = 44^2 + 33^2 = 3025

Hypotenuse = √3025

Hypotenuse = 55 meters