Question

in fig 7.70, if ab||cd, find value of x​

Answer 1

Answer:

In trapezium ab||cd so,

taking side ratio as follows

Step-by-step explanation:

AO/OC=BO/OD

=4/4x-2=x+1/2x+4

ON CROSS MULTIPLICATION

=8x+16=(4x-2)(x+1)

=4x^2-6x-18=0

ON DIVIDING BY 2

=2x^2-3x-9=0

=2x(x-3) + 3(x-3)=0

SO, 2x+3=0 OR x-3=0

SINCE x=-3/2 OR x=3

SO x= -3/2 can't be possible

HENCE x=3