Q32 of 149 Page 14

Find the distance of the point (1, 2) from the mid-point of the line segment joining the points (6, 8) and (2, 4).

Let D(x, y) be the midpoints of A(6, 8) and B(2, 4). Let our third given point be C(1, 2).


By midpoint formula.


x = , y =


For midpoint D of AB,


x = and y =


∴ x =4 and y = 6


∴D(x, y) ≡ (4, 6)


Now to find distance between C and D,


By distance formula,


XY =


For CD,


CD =


=


= 5 units


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