Question

WZ = 32, YZ = 6, and X is the midpoint of WY. Find WX.

Answer 1

We are given the length of two segments:

WZ = 32

YZ = 6

and we are told that x is the midpoint of the segment WY

We are asked to find the length of the segment WX

Notice that the total length of the segment WZ is 32. from the point Y to the point Z we have 6 units. therefore, between W and Y there is 32 - 6 = 26 units.

SInce X is the midpoint of the distance between W and Y, then it has to cut the segment WY (26 units long) in two equal parts, each of length 13 units (half of 26).

Therefore, WX must be of length 13 units.