Answer:
The length of CD is 8 units
Step-by-step explanation:
The complete question in the attached figure
we know that
According to the Right Triangle Altitude Theorem,
[tex](BD)^2 = (AD)(CD)[/tex]
substitute the given values
[tex](4)^2 = (x-6)(x)[/tex]
[tex]16=x^2-6x\\x^2-6x-16=0[/tex]
solve the quadratic equation by graphing
The solution is x=8 or x=-6
see the attached figure N 2
Discard the negative length.
therefore
The length of CD is 8 units
