PQRS is a parallelogram. QM is the height from Q to SR and QN is the height from Q to PS. If SR $$=12\ cm$$ and QM $$=7.6\ cm$$ Find QN, if PS $$=8\ cm.$$
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Solution
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Given: SR$$=12$$cm, QM$$=7.6$$cm, PS$$=8$$cm.
Area of parallelogram$$=$$base$$\times$$height $$=12\times 7.6=91.2cm^2$$.
Area of parallelogram$$=$$base$$\times$$height $$\Rightarrow 91.2=8\times$$QN $$\Rightarrow QN=\dfrac{91.2}{8}=11.4$$cm.
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