Soccer Game.ca - Soccer News and Soccer Scores From around the globe Visit Soccer Game.caInformational Site Network Informational
Privacy
Home Top Rated Puzzles Most Viewed Puzzles All Puzzle Questions Random Puzzle Question Search

Math Puzzle . ca - math and logic puzzles

Looking for brainteaser puzzles, mensa mind challenges, math puzzles and logic problems?

Welcome to MathPuzzle.ca the home of logic and math puzzles. Choose from hundreds of logic math puzzles and brainteasers. Start by browsing the categories, they are divided into different logic type puzzles. If you are unsure where to go, click on the random logic puzzle from the top menu.






The Four Princes

(MISCELLANEOUS PUZZLES)

The dominions of a certain Eastern monarch formed a perfectly square tract of country. It happened that the king one day discovered that his four sons were not only plotting against each other, but were in secret rebellion against himself. After consulting with his advisers he decided not to exile the princes, but to confine them to the four corners of the country, where each should be given a triangular territory of equal area, beyond the boundaries of which they would pass at the cost of their lives. Now, the royal surveyor found himself confronted by great natural difficulties, owing to the wild character of the country. The result was that while each was given exactly the same area, the four triangular districts were all of different shapes, somewhat in the manner shown in the illustration. The puzzle is to give the three measurements for each of the four districts in the smallest possible numbers—all whole furlongs. In other words, it is required to find (in the smallest possible numbers) four rational right-angled triangles of equal area.









Read Answer