The@34) In ly given tig, find the value of P (1)&minup

1.	The@34) In ly given tig, find the value of P (1)&minup
Answer» Answer: 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...

Answer»

Answer:

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...

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