First, find the positions of C and D. Draw a diagram to visualize the problem:
To find c and d, divide the distance between A and B over 3. Then, add the result to the position of A to find c, and then add again that number to the position of c to find d.
The distance between A and B equals the difference of their coordinates:
[tex]d(A,B)=38-11=27[/tex]Divide 27 over 3:
[tex]\frac{27}{3}=9[/tex]Add 9 plus 11 to find c:
[tex]\begin{gathered} c=9+11 \\ =20 \end{gathered}[/tex]Add 9 plus 20 to find d:
[tex]\begin{gathered} d=20+9 \\ =29 \end{gathered}[/tex]Since c=20 and d=29, then:
[tex]c+d=20+29=49[/tex]Therefore:
[tex]c+d=49[/tex]