Question 139

The length of the median through A of $$\triangle$$ABC where A(4, 2), B(6, 5) and C(1, 4) is

Solution

The midpoint of BC to which the median will connect from A : (3.5, 4.5)

Length of median = Distance between A(4,2) and (3.5, 4.5) = $$\sqrt{\left(3.5-4\right)^2+\left(4.5-2\right)^2}$$ = $$\sqrt{6.5}=\frac{\sqrt{\ 26}}{2}$$


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