Question

in figure,find the value of X which will make DE=AB?

Answer 1

Answer:

Good Luck :)

Step-by-step explanation:

BASIC PROPORTIONALITY THEOREM (BPT) : If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points then the other two sides are divided in the same ratio. That is also known as Thales theorem.

GIVEN:

In ∆ABC , DE || AB

AD= 3x+19, DC= x+3, BE= 3x+4, EC = x

AD /DC = BE/EC

[ By Thales theorem(BPT)]

3x+19/x+3 = 3x+4/x

(3x+19) × x = (3x+4) × (x+3)

3x² + 19x = 3x² + 9x + 4x +12

3x² + 19x = 3x² + 13x +12

3x² - 3x² +19x -13x = 12

6x = 12

x = 12/6= 2

x = 2

Hence, the value of x is 2 .

HOPE THIS WILL HELP YOU...