In figure DE||BC
BD=x-3
AB=2x
CE=x-2
AC=2x
find x
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Step-by-step explanation:
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Step-by-step explanation:
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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