Question

IF AD = 8 cm. AB = 12 cm and AE=12 cm, then find CE​

Answer 1

Answer:

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Step-by-step explanation:

ANSWER

Given: AB = 12cm, AD =8cm, AB = 12cm and AC = 18cm

To Prove: DE∥BC

in ∆ABC,

DB

AD

​  

=  

AB−AD

AD

​  

=  

12−8

8

​  

=2

And AEAC=  

AC−EC

AE

​  

=  

18−12

12

​  

=2

Then,  

DB

AD

​  

=  

EC

AE

​  

 

Basic Proportionality theorem which states that

if a line is drawn parallel to one side of a triangle the other two sides in distinct points, then the other two sides are divided in the same ratio.  

Hence, DE∥BC

[by converse of basic

proportionality theorem]  

Hence, Proved.

Answer 2

Step-by-step explanation:

Required to find CE

By using thales theorem,(as DE||

BC)

AD/BD = AE/CE

8/4= 12/CE

8×CE= 4×12 cm

CE=(4×12)/8cm

CE=48/8 cm

Therefore

CE=6cm