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The Carpenter

The Carpenter

Geometry enthusiasts will find here a fairly easy problem that can be solved by experimental methods, although there is also a scientific formula to find the correct answer reminiscent of the famous proposition 47 of Euclid, or Pythagoras' theorem.

The carpenter has a piece of wood four feet long and 4 feet wide, with a cut corner. The riddle consists of Divide the table into the least possible number of pieces so that they can be repositioned to form a perfect square that serves to make a square table.

In this case the missing piece has been cut at an angle that mathematicians would call 15 degrees, but when you discover the answer to the problem you will see that the same rule we apply can be used with any other angle, producing the same result.

Solution

The best result requires only two straight cuts and manages to form a square by turning one of the pieces (a carpenter's trick in which some of Euclid's followers did not think).

Whether the angle from D to B is more acute or less does not make any difference. Draw a line from the center or the left side E to the middle of the C angle. Then draw the line at the right angle until you reach the corner G.