Final answer:
The length of HJ cannot be determined with the provided information about TU being parallel to IJ, as there are no additional details or geometric properties given.
Step-by-step explanation:
If we know that TU is parallel to IJ, without further information about the specific positions of points H, J, U, I, and T, or additional geometric relationships, we can't determine the length of HJ. Without additional information such as angle measures, side lengths, or specific geometric properties, we cannot conclude that HJ has the same length as any of the other segments mentioned (TU, UJ, TI). Therefore, the correct answer is:
a) Length of HJ cannot be determined with the provided information.