Answer:
AB=2.1
Step-by-step explanation:
we know that
Applying the Intersecting Secant-Tangent Theorem
[tex](BC+AB)(AB)=AD^{2}[/tex]
substitute the given values and solve for AB
[tex](15+AB)(AB)=6^{2}[/tex]
Let
x=AB
substitute
[tex](15+x)(x)=36[/tex]
[tex]x^{2}+15x-36=0[/tex]
Solve the quadratic equation by graphing
The solution is x=2.1
see the attached figure
therefore
AB=2.1
