Question

in a parallelogram abcd , ab=18cm , bc=12cm, al perpendicular dc and am perpendicular bc. if al = 6.4cm , find the length of am.

Answer 1

$\underline{\textsf{Given:}}$

$\textsf{ABCD is a parallelogram with AB=18cm, BC=12cm}$

$\mathsf{AL{\perp}CD,\;AM{\perp}BC\;and\;AL=6.4cm}$

$\underline{\textsf{To find:}}$

$\textsf{Length of AM}$

$\underline{\textsf{Solution:}}$

$\textsf{We know that,}$

$\mathsf{Area\;of\;parallelogram=Base{\times}Height}$

$\textsf{From the figure, it is clear that}$

$\textsf{Area of parallelogram ABCD having base AB}$

$\textsf{=Area of parallelogram ABCD having base BC}$

$\implies\mathsf{AB{\times}AL=BC{\times}AM}$

$\implies\mathsf{18{\times}6.4=12{\times}AM}$

$\implies\mathsf{AM=\dfrac{18{\times}6.4}{12}}$

$\implies\mathsf{AM=\dfrac{3{\times}6.4}{2}}$

$\implies\mathsf{AM=3{\times}3.2}$

$\implies\boxed{\mathsf{AM=9.6\,cm}}$

$\underline{\textsf{Answer:}}$

$\mathsf{Length\;of\;AM\;is\;9.6\;cm}$

$\underline{\textsf{Find more:}}$

Prove it ... Parallelogram on the same base and having equal areas lie between the same parallels

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Diagonals AC and BD of a parallelogram ABCD intersect each other at O if OA=3cm and OD=2cm determine the length of AC and BD

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Answer 2

Answer:

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