Answer:
Ethane (1.09 A) > Ethene(1.076 A) > Ethyne(1.06 A)
Explanation:
The types of bonds present are:
a) Ethane : single bond
b) Ethene : double bond (one sigma one pi)
c) Ethyne: triple bond (one sigma and two pi bonds)
More the number of bonds lesser the bond length.
Thus the order of bond length of carbon-carbon bond will be:
Ethane (1.09 A) > Ethene(1.076 A) > Ethyne(1.06 A)