The co-ordinates of the vertices of ΔABC are A(3, 1), B(1, 6) and C(5, 4). The length of median through A is ______.

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The co-ordinates of the vertices of ΔABC are A(3, 1), B(1, 6) and C(5, 4). The length of median through A is 4. Explanation: Midpoint of BC: = ((1 + 5)/2, (6 + 4)/2) = (3, 5) Median from A goes to this midpoint; AM = sqrt[(3-3)^2 + (5-1)^2] AM = sqrt(16) ∴ AM = 4 Because the x-coordinates match, the median is vertical, and its length equals the y-difference of 4.

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