Question

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In a parallelogram ABCD, AB=8cm. The altitudes corresponding to side AB and AD are respectively, 4 cm. Find AD.

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Answer 1

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$\large\red{{ \fcolorbox{blue} {black}{ \underline{ \red{Rєquírєd αnѕwєr}}}}}$

$\footnotesize \text{We know that, area of a parallelogram} \\ \footnotesize \sf { = Base \times Corresponding \: altitudes }$

$\footnotesize \sf { \therefore \: Area \: of \: \: parallelogram \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\\footnotesize \sf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ABCD =AD \times BN \times DM}$

$\footnotesize \sf{ \implies \:AD \times 5 = 8 \times 4 } \\ \footnotesize \sf{ \implies \: AD = \frac{8 \times 4}{5} = \bf \red{6.4 \: cm. } }$

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