Maths / Areas Of Parallelograms And Triangles / Relation between Area of Parallelogram and Triangle

QUESTION
 

In the figure  if large dpi{110} AD left | right |BC , AD=BC and CN is perpendicular to AB (produed),which of the following reationalship is true?

 

OPTIONS
A. 

ar(ACB)=frac{1}{2}ar(ABCD)

B. 

ar(ABC)=ar(ABCD)

C. 

ar(ABCD)=ar(ANCD)

D. 

ar(ADC)=ar(ABCD)

Right Option : A

EXPLANATION
Explain TypeExplanation Content
Text

As parallelogram ABCD and triangle ACB are on the same base AB and between the same parallels AB || CD,

large ar(Delta ABC)=frac{1}{2} X ar(||^{gm}ABCD)

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