Q13 of 53 Page 122

Find the lengths of the medians of a triangle whose vertices are A(-1,1), B(5, -3) and C(3, 5).

According to the distance formula, the distance 'd' between two points (a,b) and (c,d) is given by .....(1)


According to the mid point theorem the coordinates of the point P(x,y) dividing the line formed by A(a,b) and B(c,d) is given by:




Mid point of AB x coordinate =


Y coordinate =


Mid point of BC x coordinate =


Y coordinate =


Mid point of AC x coordinate =


Y coordinate = = 3


Length of median through A is the distance between pt A and the mid point of BC


Da = = 5


Length of median through B is the distance between pt B and the mid point of AC


Db = = 2


Length of median through C is the distance between pt C and the mid point of AB


Dc = =


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