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[The Problem Week] The square Mayan good luck

This problem also appeared in Dodka long time.

in a Mayan pyramid there is an engraving like that reproduce. Below it reads: "One who calculates the square surface interior, exterior knowing that measures 100 square feet, will of God for 50 years Itzamná luck Tzolkin calendar. " If you believe in the power of destiny, get to work.

"Today we also make the solution? No? Yes? Maybe? Then look below the picture if you want to know.

[One of the activities of the Mayan people was his famous ball game, in which an H-shaped field with players vying Maya solid rubber ball to try enter one of the two vertical stone rings subjects in the central walls. The ball was hit at the waist, and it seems to shoulders, elbows and knees, but without hands, feet or head. The matches could last a day and night, and not disputed as entertainment, but as a ritual, a church that represented the Maya mythology of creation]

Solution:

is very simple, Simply turn inside the box and place as shown in the accompanying drawing, and so we will see that the surface of the small square is half of the large square.

So the solution is 50 square cm .

who does not realize this clever twist, it can be solved by the Pythagorean theorem, arriving at the same solution.

Notes: In the time do not point the source of many problems that I included in Dodka, and so far, due to some repairs being made on our school boat, I can not find these sources, so now I find that I know that this problem today I got it from somewhere, but I can not say where.

math problems are like the sayings, or jokes, it is difficult to trace the real author, as many of the problems date back to books, scrolls, papyri and ancient trails, and teachers of all ages matenavegantes have been passed to the multitude of variations and adaptations to their students in math classes. If we say that a problem as we have learned from this book, most likely the author of the book is taken from another earlier book, or someone told him at the time, and that someone else received it from someone before , etc. It is very difficult to find nowadays problems original, except when they are highly specialized in different branches of mathematics novel.