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Mathematics in real life: Tent
Solution
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.
Home -> Solved problems -> Can we set up this tent ?
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