Answer:
x = 5.7
Step-by-step explanation:
Use the Triangle-Angle-Bisector Theorem.
[tex]\frac{CD}{DB}[/tex] = [tex]\frac{AC}{AB}[/tex]
Substitute the corresponding side lengths.
[tex]\frac{2}{2.8}[/tex] = [tex]\frac{x}{8.1}[/tex]
Cross Multiply.
16.2 = 2.8x
Divide each side by 2.8.
[tex]\frac{16.2}{2.8}[/tex] = [tex]\frac{2.8x}{2.8}[/tex]
Since 2.8 cancels out 2.8x, your left with x.
Then divide 16.2 by 2.8.
x = 5.7
