In the given figure we have given length of sides of the triangle in terms of X and we need to find the value of X by using the properties of similarities

ML Aggarwal Avichal Publication Class 10, Similarity, Chapter 13ii, question no 2i

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## In Δ ABC, DE ∥ BC

∴AD/DB=AE/EC

(By basic proportionality theorem)

⇒x/x−2x=x+2/x-1

⇒x(x−1)=(x+2)(x−2)

⇒x^2−x=x^2−4

## ⇒x=4.