How are square numbers and Pythagoras theorem inter-related?
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Step-by-step explanation:
The squares are required because it's secretly a theorem about area, as illustrated by the picture proofs you've mentioned. Since a side length is a length (obviously), when you square it you get an area
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How are the Pythagorean theorem and distance formula related to each other?
Pythagorean Theorem: In any right triangle the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. Distance Formula: If the coordinates of two points in a plane are (x1, y1) and (x2, y2), then the distance between the two points is equal to .
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