205k views
0 votes
PLZ HELP ASAP LAST ONE ANGLE BISECTOR THEOREM

PLZ HELP ASAP LAST ONE ANGLE BISECTOR THEOREM-example-1
User Beengie
by
7.7k points

1 Answer

4 votes
We have from the angle bisector theorem that the sides AC and CD are proportional to AB and BD. Hence, we get the following equality that holds in general when the angles BAD and CAD are equal.

(CD)/(AC) = (BD)/(AB)
Substituting:


(2)/(5.9) = (2.8)/(x) \\ x= (5.9*2.8)/(2)=8.26=8.3
User Nikolas Rieble
by
7.7k points