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If abcd is a parallelogram then …

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If abcd is a parallelogram then prove that ar(bcd) =ar(abc)

Posted by Sudha Mani 8 years, 4 months ago

CBSE > Class 09 > Mathematics

1 answers

Parvej Alam 8 years, 4 months ago

Join AC and BD Proof In triangle BCD and ABC AB=CD (OPPOSITE SIDE OF ||gm) BC=BC (COMMON) AC=BD (Diagonals of ||gm bisect each other ) Therefore triangle BCD CONGRUENT triangle ABC(SSS congruency rule) Therefore ar (ABC)=ar (BCD) [ BY CPCT]

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