if (2,1),(2,5)are opposite corners of a square then what is the length of its side
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(2,1) and (2,5) are opposite corners of a square.
By distance formula , distance between these two points is
4
(Both x-coordinates are same. So, distance is difference between y-coordinates)
So, length of diagonal is 4.
Let length of side of square be l.
Then, by Pythagoras Theorem,
l^2 + l^2 = 4^2
So, l = 4/√2
So , l = 2√2
Thus, length of side of square is 2√2
By distance formula , distance between these two points is
4
(Both x-coordinates are same. So, distance is difference between y-coordinates)
So, length of diagonal is 4.
Let length of side of square be l.
Then, by Pythagoras Theorem,
l^2 + l^2 = 4^2
So, l = 4/√2
So , l = 2√2
Thus, length of side of square is 2√2
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21
thtis is the answer for your question
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