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if the extremities of a diagonal of a square are (1,-2,3) and (2,-3,5) then the lenght of its side is ?

if the extremities of a diagonal of a square are (1,-2,3) and (2,-3,5) then the lenght of its side is ?

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1 Answers

Harsh Patodia IIT Roorkee
askIITians Faculty 907 Points
9 years ago
Length of the diagonal of square is v((1-2)^{2} + (-2+3)^{2} +(3-5)^{2})√((1-2)2 + (-2+3)2 +(3-5)2) = √6
We aslo know that length of square is √2 times the side.
This implies √2a= √6 ( where a is the side of square)
\Rightarrow a= √3

Hence length of side of square is √3

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