`A=(2,2),B=(6,3),C=(4,1)` are the vertices of triangle.If `D,E` are the mid points of `BC,CA` respectively,then `DE`

In a triangle ABC,D and E are the mid- points of BC,CA respectively.If AD=5,BC=BE=4, then CA=

If in a triangle ABC and D,E are the mid- points of AB and AC respectively,then vec DE is equal to

let A(vec a),B(vec b),C(vec c) be the vertices of the triangle ABC and D,E,F be the mid point of sides BC,CA,AB respectively.if P divides the median AD in the ratio 2:1 then position vector of P

If in a triangle AB=a,AC=b and D,E are the mid-points of AB and AC respectively, then DE is equal to

A(1,3),B(4,-1),C(-8,4) are the vertices of a triangle ABC. If D,E,F divides BC,CA,AB in the same ratio 2:1 then centroid of triangle DEF is

A(6,1) , B (8,2) and C (9,4) are three vertices of a parallelogram ABCD . If E is the mid - point of DC , then find the area of triangle ADE.

If A, B, C are the points (-1, 5), (3, 1), (5, 7) respectively and D, E, F are the middle points of BC, CA and AB respectively, prove that : DeltaABC=4 DeltaDEF .

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.

A(x_(1),y_(1))B(x_(2),y_(2)) and C(x_(3),y_(3)) are the vertices and a,b and c are the sides BC,CA and AB of the triangle ABC respectively then the Coordinates of in centre are I=