Answer :

Answer:

The answer to your question is AB = 8 units

Step-by-step explanation:

To solve this problem use proportions and similarity of triangles

Compare ΔABC to ΔADB

Big triangle        AB /(AD + DC)

Small triangle    AD / AB

Substitution

                          AB / (4 + 12) = 4 / AB

Simplification

                          AB / 16 = 4 / AB

                           AB² = 4(16)

                           AB² = 64

Result

                          AB = 8                      

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