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Piertoni · Answer 1 · 2023-03-16T00:01:20+0000

Remember that in order for three sides a, b and c to form a triangle, the following need to be true:

$\begin{gathered} a+b>c \\ a+c>b \\ b+c>a \end{gathered}$

Let's see what happens if:

$\begin{gathered} a=5\operatorname{cm} \\ b=6\operatorname{cm} \\ c=10\operatorname{cm} \end{gathered}$

This way,

$\begin{gathered} a+b>c\rightarrow5\operatorname{cm}+6\operatorname{cm}>10\operatorname{cm}\rightarrow11\operatorname{cm}>10\operatorname{cm}\text{ }✅ \\ a+c>b\rightarrow5\operatorname{cm}+10\operatorname{cm}>6\operatorname{cm}\rightarrow15\operatorname{cm}>6\operatorname{cm}✅ \\ b+c>a\rightarrow6\operatorname{cm}+10\operatorname{cm}>5\operatorname{cm}\rightarrow16\operatorname{cm}>5\operatorname{cm}\text{ }✅ \end{gathered}$

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