Answer:
CD = 4.4
Step-by-step explanation:
AD bisects <CAB into two equal angles. Therefore, based in the angle bisector theorem, the segments are proportional to each other. This implies that:
CD/CA = DB/AB
CD = ?
CA = 5.6
DB = 4
AB = 5.1
Therefore:
CD/5.6 = 4/5.1
Cross multiply
CD*5.1 = 4*5.6
CD*5.1 = 22.4
Divide both sides by 5.1
CD = 22.4/5.1
CD = 4.39215686
CD = 4.4 (1 decimal place)
