3 years ago

What is the length of CD?

Mathematics

1 answer:

Mumz [18]3 years ago

3 0

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)

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