If point 'X' has co-ordinates (3,2) and point 'Y' has co-ordinates (5, 7). What is the distance between points 'X' and 'Y'?
Question
If point 'X' has co-ordinates (3,2) and point 'Y' has co-ordinates (5, 7). What is the distance between points 'X' and 'Y'?
Solution
To find the distance between points 'X' and 'Y', we can use the distance formula. The distance formula is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) are the coordinates of point 'X' and (x2, y2) are the coordinates of point 'Y'.
In this case, the coordinates of point 'X' are (3, 2) and the coordinates of point 'Y' are (5, 7).
Substituting these values into the distance formula, we get:
d = √((5 - 3)^2 + (7 - 2)^2) = √(2^2 + 5^2) = √(4 + 25) = √29
Therefore, the distance between points 'X' and 'Y' is √29.
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