Point C is the midpoint. There exists a point of D that is located on AB and is one-third of the way from C to B

Question

what are the coordinates of D ?

Answer 1

the problem seems to be missing some information,

but a few things could be said about the solution:

if C is the midpoint of AB

then AC = CB

D is 1/3 the way from C to B

DB= 2CD= AB/6

for example,

if point A has coordinates (12,0) and B is (24,0)

then C is (18, 0), 18 = (12+24)/2 = 36/2

and D is (20,0) 20 = 18+(24-18)/3 = 18+6/3= 18+2

or a lttle more generally

if A is (x1, 0), and B is (x2, 0)

then C is ((x1+x2)/2, 0)

and D is ((4x1+3x2)/6, 0)

a formula if y coordinates differ gets more complicated