In the diagram above, △ABC ≅△BAD. If AC=8 m and AB=17 m , how long is AD¯¯¯¯¯¯¯¯ ? (1 point)

20 m
17 m
19 m
15 m

1 answer

Since we know that triangles \( \triangle ABC \) and \( \triangle BAD \) are congruent, it follows that corresponding sides are equal.

Given:

  • \( AC = 8 \) m
  • \( AB = 17 \) m

From the congruency of the triangles, we can deduce that:

  • \( AB \) corresponds to \( AD \)

Thus, we have: \[ AD = AB = 17 \text{ m} \]

Therefore, the length of \( AD \) is \( \boxed{17} \) m.