Determine the lengths of each of the line segments that make up XY.
13cm
Practice makes perfect
Let's start by drawing an arbitraryline segment, representing XY. The midpoint M divides XY into two congruent line segments. Their lengths will be half of XY, 12 centimeters.
Point C is somewhere between X and M so that XC is 23 of XM. Since XM is 12 centimeters, XC is 23 of 12.
12*2/3=8 centimeters
This leaves 12-8=4 centimeters as the length of CM.
Point D is between M and Y so that MD is 34 of MY. The length of MY is 12 centimeters so MD is 34 of that.
12*3/4=9 centimeters
This leaves 12-9=3 centimeters as the length of DY.
Now we know the lengths of each of the line segments that make up XY. The length of CD is the sum of CM and MD.
We can add these lengths to find the desired length, CD.
CD=9+4=13centimeters
