in figure de || bc . if bd = x-3 and ab = 2x ce =x-2 and ac =2x+3. Find x
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In triangle ABC, DE || BC. Then x = 9
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The question is incomplete. The figure is missing.
Given: In triangle ABC, DE || BC.
BD = x-3
AB = 2x
CE = x-2
AC = 2x+3
Find: X.
Solution:
Since DE is parallel to BC, according to the basic proportionality theorem, we get:
(AB / DB) = (AC / EC)
(2x / x-3)=(2x+3 / x-2)
2x (x-2) = (2x+3) (x-3)
2x^2 - 4x = 2x^2 +3x -6x -9
x - 9 = 0
Therefore x = 9
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