Question

in triangle ABC,D and E are points on the sides AB and AC respectively,such that DE||BC, AD=x,DB=x-2,AE=x+2 and EC=x-1,find the value of x

Answer 1

If DE || BC then ,
By using BPT..
x/x-2 = x+2/x-1
So, x (x-1) = (x-2)(x+2)
x^2-x = x^2-4
Therefore, x=4.