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If L(5,-8) and M (-7,-3) then the distan...

If L(5,-8) and M (-7,-3) then the distance between points
L and M is _ _ _ _ _ _

Text Solution

Verified by Experts

Suppose the coordinate of point L are `(x_(1),y_(1))` and of point M are `(x_(2),y_(2))`.
`:.x_(1)=5,y_(1)=-8,x_(2)=-7` and `y_(2)=-3`
By distance formula
`LM=sqrt((x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2))`
`=sqrt((-7-5)^(2)+[-3-(-8)]^(2))`
`=sqrt((-12)^(2)+(-3+8)^(2))`
`=sqrt((-12)^(2)+(5)^(2))`
`=sqrt(144+25)`
`=sqrt(169)`
`=13`
Distance between points L and M is 13.
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