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LuckyWell [14K]
3 years ago
5

A triangle has two sides of lengths 6 and 9. What value could the length of the third side be?

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
4 0

The sum of the lengths of two sides of a triangle must always be less than or equal to the third side. So, if we let the third side be x, we have:

\begin{cases}6+x\geq9\\x+9\geq6\\6+9\geq x\end{cases} \iff \begin{cases}x\geq3\\x\geq -3\\x\leq 15\end{cases} \iff \begin{cases}x\geq3\\x\leq 15\end{cases}

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