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Mathematics in real life: Tent


Consider the triangle shown in the next figure
Using Pythagoras Theorem, we get \[\begin{aligned} &(3 x)^{2}=(2 x)^{2}+x^{2} \\\\ &9 x^{2}=4 x^{2}+x^{2}\\\\ &9 x^{2}-5 x^{2}=0\\\\ &4 x^{2}=0\\\\ & x^{2}=0\\\\ &\Rightarrow x=0 \end{aligned}\]
Therefore, we cannot set up the tent with the given conditions.
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