235k views
0 votes
What is the length of CD?

Round to one decimal place.

C
5.6
4
A
B
D
5.1

What is the length of CD? Round to one decimal place. C 5.6 4 A B D 5.1-example-1

1 Answer

3 votes

Answer:

CD = 4.4

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)

User NARKOZ
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories