Answer:
Option A is correct
Value of x to the nearest tenths is 15.7 units
Step-by-step explanation:
Angle bisector theorem states that a triangle divides opposite sides in two segments that is proportional to the other two sides.
In given figure:
Labelled the figure.
By Angle bisector theorem:
[tex]\frac{BD}{DC} = \frac{AB}{AC}[/tex]
here, BD = 7.8 units, DC = 8.3 units , AC = x units and AB = 14.8 units
Substitute these values we have;
[tex]\frac{7.8}{8.3} = \frac{14.8}{x}[/tex]
By cross multiply we have:
[tex]7.8x = 8.3 \cdot 14.8[/tex]
Simplify:
7.8x = 122.84
Divide both sides by 7.8 we have;
x = 15.748717
Therefore, the value of x to the nearest tenths is 15.7 units
