Question

in the adjoining figure DE is parallel to BE. If AD=X, DB=X-2,AE=X+2 and EC=X-1, find the value of X.

Answer 1

Step-by-step explanation:

Triangle ABA, DE||BC, so by Basic Proportionality theorem, AD /DB = AE /EC

 

substituting the values, we get,

x/x-2 =x+2/x-1

 

By cross multiplying, we get,

 

x(x-1) =(x+2)(x-2)

 

x2 -x = x2 -4

 

x=4