Home
Class 12
MATHS
A (3,4), B (-3,0) and C(7,-4) are the ve...

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.

Promotional Banner

Similar Questions

Explore conceptually related problems

A (5, 4), B (-3, -2) and C (1, -8) are the vertices of a triangle ABC. Find : the slope of the line parallel to AC.

A (1, 4), B (3, 2) and C (7,5) are vertices of a triangle ABC. Find : the equation of a line, through the centroid and parallel to AB.

Prove by vector method that the line segment joining the mid points of two sides of a triangle is parallel to the third and half of it.

A(-1, 3), B(4, 2) and C(3, -2) are the vertices of a triangle. Find the equation of the line through G and parallel to 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 .

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|

Prove that the line segment joining the mid points of two side of a triangle is parallel to the third side and equal to half of it.

Prove that the line segment joining the mid points of two side of a triangle is parallel to the third side and equal to half of it.

Prove that the line segment joining the mid points of two side of a triangle is parallel to the third side and equal to half of it.