In ∆ABC , DE ║ BC. If BD = x – 3, AB = 2x, CE = x -2 and AC = 2x + 3.Find x.

Dear student,
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  • 2
Since DE is parallel to BC
by basic proportionality theorem
(AB/DB)=(AC/EC)
(2x/x-3)=(2x+3/x-2)
By cross multiplication we get ,
2 x2- 4x = 2 x2 - 3x -9
-4x=-3x-9
-x=-9
x=9
  • 4
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