Respuesta :
The lengths of the segments AB and CB are 15 cm and 9 cm respectively
How to determine the lengths AB and CB?
The given parameters are:
AC = 24 cm
AB : CB = 5 : 3
This means that:
Length AB = AB/(AB + CB) * AC
So, we have:
Length AB = 5/(5+ 3) * 24
Evaluate
Length AB = 15
The length of CB is calculated using:
CB= AC - AB
So, we have:
CB = 24 - 15
CB = 9
Hence, the lengths of the segments AB and CB are 15 cm and 9 cm respectively
Read more about line segments at:
https://brainly.com/question/2437195
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The lengths of the segments AB and CB are 15 cm and 9 cm respectively.
What is Line Segment?
A line segment is a part of a line that has two endpoints and a fixed length. It is different from a line that does not have a beginning or an end and which can be extended in both directions.
Here, the given parameters are:
AC = 24 cm
AB : CB = 5 : 3
Length AB = AB/(AB + CB) X AC
Length AB = 5/(5+ 3) X 24
Length AB = 15
The length of CB is
CB= AC - AB
So, we have:
CB = 24 - 15
CB = 9
Thus, the lengths of the segments AB and CB are 15 cm and 9 cm respectively
Learn more about line segments from:
https://brainly.com/question/25727583
#SPJ1