Q. 144.0( 4 Votes )

In the given figu

Answer :

We know that the basic proportionality theorem states that


“If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.”


So if DE || BC,


Then AD/DB = AE/EC


By substituting the given values,


x cm/(3x + 4)cm = (x + 3)cm/(3x + 19)cm


Cross multiplying, we get


3x2 + 19x = 3x2+ 9x + 4x + 12


3x2 + 19x - 3x2- 9x - 4x = 12


6x = 12


x = 2


x = 2


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