If ABC is congruent with CDA by the HL theorem and AC= 84 and AC= 85m how long is BA

1.13m
2.15m
3.27m
4.22m

The question is a bit unclear because it states that AC=84 and AC=85m. It seems there may be a mistake or typo in the statement of the problem. However, we can still solve it based on the information provided.

If ABC is congruent to CDA by the HL (Hypotenuse-Leg) theorem, it means that triangle ABC and triangle CDA have congruent hypotenuses (AC) and congruent legs (BC and CD) in the same order.

Assuming the information given is correct, we can conclude that AC = AC, which makes sense. However, it doesn't provide any specific length for the hypotenuse AC, so we cannot determine the exact length of BA.

Therefore, none of the given options (1.13m, 2.15m, 3.27m, or 4.22m) can be determined as the length of BA based on the information provided.