Puzzle #170: Rectangle and the Oil Well

This is a wonderful puzzle that I saw today after a long time. I was asked this puzzle in an interview in Microsoft back in 1994 March – yes it has been a long time! I saw it today in a Martin Gardner book – The Colossal Book of Short Puzzles and Problems.

Here is the puzzle:

An oil well being drilled in a flat prairie country struck pay sand at an underground spot exactly 21,000 feet from one corner of a rectangular plot of farmland, 18,000 feet from the opposite corner, and 6,000 feet from a third corner. How far is the underground spot from the fourth corner?

As always, please send your answers as comments within the blog (preferred), or send an e-mail to alokgoyal_2001@yahoo.com. Please do share the puzzle with others if you like, and please also send puzzles that you have come across that you think I can share in this blog.

Happy oiling!

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4 Responses to Puzzle #170: Rectangle and the Oil Well

  1. Praneeth Kumar Ruthala says:

    27000

  2. sqrt (21000^2-6000^2+18000^2) = 27000

  3. Abhinav Jain says:

    Using Pythagoras theorem we get 27000

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