In the diagram above, △ABC ≅△BAD

Question

. If AC=8 m and AB=17 m , how long is AD¯¯¯¯¯¯¯¯ ?

(1 point)
Responses

17 m
17 m

20 m
20 m

15 m
15 m

19 m
19 m
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Answer 1

Given that \( \triangle ABC \cong \triangle BAD \), we can use the properties of congruent triangles. This means that corresponding sides are equal.

In triangle ABC:

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

In triangle BAD:

• \( AB = 17 , m \) corresponds with \( AD \).

Since \( AB = AD \) in the congruent triangles, we have:

\[ AD = AB = 17 , m \]

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

So the final answer is:

17 m.