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Question

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

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Solution

Midpoint of (6,8) and (2,4) = left parenthesis fraction numerator 6 plus 2 over denominator 2 end fraction comma fraction numerator 8 plus 4 over denominator 2 end fraction right parenthesis equals left parenthesis 4 comma 6 right parenthesis

Distance between (1,2) and (4,6) = square root of left parenthesis 4 minus 1 right parenthesis squared plus left parenthesis 6 minus 2 right parenthesis squared end root equals square root of 9 plus 16 end root equals square root of 25 equals 5 units

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