Q. 125.0( 1 Vote )

The vertices of Δ

Answer :

Given: vertices of triangle ABC i.e. A (1, 8), B (2, 4), C (8, 5)


M and N are mid – points of AB and AC.


Finding co–ordinates of M and N:


We know that,


M is the mid–point of AB


x1 = 1, x2 = –2


y1 = 8, y2 = 4


Mid–point formula M (x, y)


Mid–point of AB




N is the mid–point of AC


x1 = 1, x2 = 8


y1 = 8, y2 = –5


Mid–point of AC



Slope of MN:



Slope of line passing through (x1, y1) and (x2, y2) is








Verification of MN and BC are parallel:


If MN and BC are parallel, then their slopes must be equal.


Slope of BC:


B (–2, 4) and C (8, –5)


Slope of BC




Slope of MN = Slope of BC =


Hence, MN is parallel to BC.


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