Answer:
x = 12
Step-by-step explanation:
By applying geometric root theorem in the given triangle,
[tex]\frac{BD}{DC}= \frac{AD}{BD}[/tex]
[tex]BD^2=AD\times DC[/tex]
[tex]x^{2} =16\times 9[/tex]
[tex]x=\sqrt{144}[/tex]
[tex]x=12[/tex]
Therefore, x = 12 will be the answer.
