Question

in DE//BC if AD=x ,DB=x-2,AE=x+2 and EC=x-1 Find the value of x

Answer 1

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 

Answer 2

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

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