Question

10. AB is a line segment measuring 8.8 cm and C is a point on AB such that AC = 3.8 cm what is the measure of CB
a. 5.8 cm
b. 5cm
c. 11cm
d. 12.6cm​

Answer 1

Answer:

Step-by-step explanation:

We have

AB=5.6cm,AD=1.4cm,AC=7.2cm and AE=1.8cm.

∴       BD=AB−AD=(5.6−1.4) cm = 4.2 cm

and ,

EC=AC−AE=(7.2−1.8)cm = 5.4cm

Now,    

DB

AD

​

=

4.2

1.4

​

=

3

1

​

 and  

EC

AE

​

=

5.4

1.8

​

=

3

1

​

⇒          

DB

AD

​

=

EC

AE

​

Thus, DE divides sides AB and AC of △ABC in the same ratio.

Therefore, by the converse of Basic Proportionality Theorem, we have DE∣∣BC