Question

If in triangle ABC,RS// BC, if AR=x-2 , RB=4x ,AS=x+6 and SC=12x ,then x=​

Answer 1

Step-by-step explanation:

(1) For Fig.a,

AB∥CD [ Given ]

∴ Quadrilateral ABCD is a trapezium.

∴

CO

AO

=

DO

BO

[ Diagonals of trapezium divides each other proportionally ]

⇒

4x−2

4

=

2x+4

x+1

⇒ 4(2x+4)=(x+1)(4x−2)

⇒ 8x+16=4x

2

−2x+4x−2

⇒ 4x

2

−6x−18=0

⇒ 2x

2

−3x−9=0

⇒ (x−3)(2x+3)=0

∴ x=3 or x=

2

−3