Path To CastleMania

Geometry Level 4

While treasure hunting, Pythagoras found a square castle surrounded by a square moat on all sides.The width of the water body was uniformly 10 meters. Pythagoras was unable to find any bridges or path to cross the stream and enter the castle. However, he managed to find 2 wooden planks of equal length, which allowed him to cross the stream and enter the castle.

What is the minimum length (in meters) of 1 of the planks that are needed? Give your answer to 2 decimal places.

Please add your solution to explain how Pythagoras crossed the moat.

1) Pythagoras didn't swim or used any nails or Glue to attach the planks.
2) Neglect the Planks width and thickness. They are also strong enough to sustain any weight.


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