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Find the distance between A(2,3) and B(4,1). |
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Answer» Soppose the coordinates of point A are `(X_(1),y_(1))` and of point B are ` (x_(1) , y_(2))` ` x_(1) = 2 y_(1) = 3 , x_(2) = 4 and y_(2) = 1` By distance formula , `AB = sqrt((x_(2) - x_(1))^(2) + (y_(1) - y_(2))^(2))` `= sqrt((4 - 2)^(2) + (1 - 3)^(2))` ` = sqrt(2^(2) + (-2)^(2))` ` = sqrt( 4 + 4 )` ` = sqrt(8) = 2 sqrt(2)` Distance between point A and B is ` 2sqrt(2)` . |
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