Question

If the area of triangle AEC and triangle ECB are 50 cm/sq and 75 cm/sq respectively. AB=15cm Find AE and EB?​

Answer 1

Answer:

Step-by-step explanation:

The basic proportionality theorem states that if a line is drawn parallel to one side of a triangle and it intersects the other two sides at two distinct points then it divides the two sides in the same ratio.

It is given that AD=6 cm, DB=9 cm and AE=8 cm.

Using the basic proportionality theorem, we have

AB

AD

​

=  

AC

AE

​

=  

BC

DE

​

 

⇒  

AB

AD

​

=  

AC

AE

​

 

⇒  

15

6

​

=  

AC

8

​

 

⇒6AC=15×8

⇒6AC=120

⇒AC=  

6

120

​

=20

Hence, AC=20 cm.

solution