Two triangles A B E and A C D are similar with a shared vertex A. B E and C D are parallel. Find A E if A B = 12, A C = 16, and E D = 5.
Choices:
A:12
B:15
C:16
D:20
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. Find A E if A B = 12, A C = 16, and E D = 5.
Choices:
A:12
B:15
C:16
D:20
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. Find A E if A B = 12, A C = 16, and E D = 5.
Choices:
A:12
B:15
C:16
D:20