In parallelogram

MATHEMATICS · Single correct · CBSE · Mathematics · Quadrilaterals · Quadrilaterals

Problem

In parallelogram ABCDABCD, diagonal ACAC is drawn. Which of the following statements is always true? (a) ar(△ABC)=2 ar(△CDA)\text{ar}(\triangle ABC)=2\,\text{ar}(\triangle CDA) (b) ar(△ABC)=ar(△BCD)\text{ar}(\triangle ABC)=\text{ar}(\triangle BCD) (c) ar(△ABC)=ar(△CDA)\text{ar}(\triangle ABC)=\text{ar}(\triangle CDA) (d) ar(△ABC)=ar(△ABD)\text{ar}(\triangle ABC)=\text{ar}(\triangle ABD)

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