if ABC is congruent to CDA by the hl therom and AC=84m and AD=85m how long is BA

Answer 1

In the given problem, we have two triangles, ABC and CDA, that are congruent by the Hypotenuse-Leg (HL) theorem.

Since triangle ABC is congruent to triangle CDA, we know that:

1. The hypotenuse of triangle ABC (which is AC) is equal to the hypotenuse of triangle CDA (which is AD).
2. The legs of the triangles must also be congruent.

You provided the lengths as:

• AC = 84 m (hypotenuse of triangle ABC)
• AD = 85 m (hypotenuse of triangle CDA)

However, it seems that there might be some inconsistency here. Since both triangles are congruent, their hypotenuses should be equal. Thus, if AC is indeed 84 m, then AD should also be 84 m if the triangles are indeed congruent.

If there are further details or clarifications, please provide those, as the current provided lengths indicate a contradiction, and as it stands, we cannot accurately determine the length of BA based on the information given.