Final answer:
To find the length of ZX, we can set up a proportion using the given lengths of AB, BC, and AC and solve for XZ. The length of ZX is 4.
Step-by-step explanation:
To find the length of ZX, we can use the fact that ABC is equal to XYZ. Since AB is equal to XY, BC is equal to YZ, and AC is equal to XZ, we can conclude that AB = 3, BC = 6, and AC = 4. Using these lengths, we can set up the proportion AB/XY = AC/XZ and solve for XZ.
AB/XY = AC/XZ
3/XY = 4/XZ
Cross-multiplying, we get 3*XZ = 4*XY. Since AB = XY = 3, we can substitute these values into the equation to find the length of ZX.
3*XZ = 4*3
XZ = 4
Therefore, the length of ZX is 4.