The point K(1,2) lies on the perpendicular bisector of the line segment joining the points E(6,8) and F(2,4). Find the distance of the point K from the line segment EF.

Dear Student ,
 
Please find below the solution to the asked query :

We will find the distance between the mid point of line segment EF and Point K1,2 , which will be the distance of Point K 1,2 from the line segment EF .Since point K1,2 lies on perpendicular bisector of the line segment EF .Mid point of line segment EF=6+22,8+42=82,122=4 , 6Distance between 4,6 and 1,2 =4-12+6-22=32+42=9+16=25=5 units . So,  distance of Point K 1,2 from the line segment EF is 5 units .
 
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