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No! Length squared will be the length times the length again. Length times height is going to find the area so it will not be the same.
Up to three sides can be of the same length but none have to be the same.
No sides of a scalene triangle are the same length.
No. No. No. No.
Pythagoras discovered the properties of string length, and that certain ratios of string length are more pleasing to the human ear. The ration is 3:2.