Question

The length of the AC section is 24 cm. Point B is the interior point of the section AC, AB: CB5: 3. Find the lengths of the segments AB and CB

Answer 1

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:

brainly.com/question/25727583

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Answer 2

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:

brainly.com/question/2437195

#SPJ1