Question

If DB = x - 1, AD = x, CB = x + 1, and CD = y, find x and y.

Answer 1

Answer:

In Δ ABC, DE ∥ BC

∴DBAD=ECAE

(By basic proportionality theorem)

⇒x−2x=x−1x+2

⇒x(x−1)=(x+2)(x−2)

⇒x2−x=x2−4

⇒x=4.