Q8 of 23 Page 322

The co-ordinates of vertices of A, B, C of a triangle ABC are (–1, 3), (1, –1) and (5, 1) respectively, let us calculate the length of Median AD.

To calculate, the length of Median AD, first we’ll calculated the coordinates of mid-point of BC.

Let the coordinates of that mid-point be (x, y) –


And, we know mid-point formula, i.e. the coordinates of mid-point of line joining (x1, y1) and (x2, y2) is




⇒ x = 3 and y = 0


⇒ the coordinates of one end of median(x1, y1) = (– 1, 3) and of another end(x2, y2) = (3, 0).


Now, we know the length = √((x2 – x1)2 + (y2 – y1)2)


⇒ Length of median = √ ((3 –(– 1))2 + (0 – 3)2)


⇒ Length of median = √ (16 + 9)


⇒ Length of median = √ 25


⇒ Length of median = 5


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