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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