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. $\dpi{80} \fn_phv ar(ACB)=\frac{1}{2}ar(ABCD)$ 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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