[" 28.A "(3,4),8(-3,0)" and "(7,-4)" are the vertices of a triangle.Show the furcion the "],[" mid points of "AB" and "AC" is paraliel to "BC" and is half of it "]

A(3,4),B(-3,0) and C(7,-4) are the vertices of a triangle.Show that the line joining the mid-points of AB and AC is parallel to BC and is half of it.

If A(2,-1,3),B(8,5,-6) and C(4,1,0) are the vertices of a triangle,show that |vec AB|=3|vec AC|

A (5, 3), B (-1, 1) and C (7, -3) are the vertices of triangle ABC. If L is the mid-point of AB and M is the mid-point of AC, show that : LM = (1)/(2) BC .

A(5,-3),B(8,2),C(0,0) are the vertices of a triangle.Show that the medianfrom A is perpendicular to the side BC.

A(8, -6), B(-4, 2) and C(0, -10) are vertices of a triangle ABC. If P is the mid-point of AB and Q is the mid-point of AC, use co-ordinate geometry to show that PQ is parallel to BC. Give a special name to quadrilateral PBCQ.

Show that the points A(4, 7 ) B (8,4) and C(7,11) are the vertices of a right angled triangle.

A (8,0), B (0,-8) and C (-16, 0) are the vertices of a triangle ABC. If P is in AB and Q is in AC such that AP : PB = AQ : QC =3:5, show that 8PQ = 3 BC.

Given the vertices A(2,-1,4), B(3,2,-6) and C(-5,0,2) of a triangle ABC Find the mid point of BC

In the fig. BM=BN, M is the mid point of AB and N is the mid point of BC. Show that AB=BC

Show that the points A(4, 7), B(8, 4), C(7, 11) are the vertices of right angled triangle