Question

Show that the centroid of a triangle coincides with that of the triangle formed by
joining the middle points of its sides.​

Answer 1

Answer:

centroid coincides with triangle formed by joining midpoints of sides of triangle

Step-by-step explanation:

let ▲ABC and L, M &N are midpoints of AB , BC& AC

now a b c l m n are position vectors

by midpoint formula

l=a+b/2

m=b+c/2

n=a+c/2

now

g=l+m+n/3

[ 2 (a+b+c)/2] 3

=a+b+c/3