Write your own real-world scenario where the Pythagorean Theorem can be applied to find a missing piece. You may choose to write a problem that is two- or three-dimensional in nature. Be sure that you will be able to draw a diagram of your scenario.

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Answer:

Bucky's ship is located 43 miles west off the harbor. Clyde's yacht is located 25 miles north from Bucky. How far is Clyde from the Harbor?

The picture would explain how it relates to the Pythagorean Theorem.

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The real-world scenario is given as: A yacht travelling 20 miles due east off an harbor is located 50 miles due north from the yacht, the distance of the ship (x) can be calculated using Pythagorean Theorem as: [tex]x = \sqrt{50^2 + 20^2} = 53.9 $ miles[/tex]

Recall:

  • Pythagorean Theorem applies to a right triangle where [tex]c^2 = a^2 + b^2[/tex], and c is the hypotenuse.
  • If we know the two of the three side lengths of a right triangle, we can find the other third length.

An example of a scenario  where the Pythagorean Theorem can be applied to solve real- world problem have been sketch in a diagram attached below (See attachment).

Therefore:

The real-world scenario is given as: A yacht travelling 20 miles due east off an harbor is located 50 miles due north from the yacht, the distance of the ship (x) can be calculated using Pythagorean Theorem as: [tex]x = \sqrt{50^2 + 20^2} = 53.9 $ miles[/tex]

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