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(ancient math problem) folding bamboo to the ground;
Let the length of the fracture be x feet, then according to the pythagorean theorem,

( 10-x)? +3? =x? The solution is x=4.55 (feet).

That is, the length of the broken part is 4.55 feet, and the height of the broken part from the ground is (10-4.55)=5.45 feet.