Two triangles A B E and A C D are similar with a shared vertex A. B E and C D are parallel. If A B = 12, A C = 16, and E D = 5, find A E.
Choices:
A:10
B:12
C:15
D:16
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Two triangles A B E and A C D are similar with a shared vertex A. B E and C D are parallel. If A B = 12, A C = 16, and E D = 5, find A E.
Choices:
A:10
B:12
C:15
D:16
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Two triangles A B E and A C D are similar with a shared vertex A. B E and C D are parallel. If A B = 12, A C = 16, and E D = 5, find A E.
Choices:
A:10
B:12
C:15
D:16