Question

In a triangle ABC, DE ∥ BC and AE = a, EC = b, Find the value of de/bc

Answer 1

Answer:

Step-by-step explanation:

in Δ ABC, DE ∥ BC

∴  

DB

AD

​  

=  

EC

AE

​  

 

(By basic proportionality theorem)

⇒  

x−2

x

​  

=  

x−1

x+2

​  

 

⇒x(x−1)=(x+2)(x−2)

⇒x  

2

−x=x  

2

−4

⇒x=4.