Possible lengths

Find the most possible lengths for the third side of a triangle with sides 20 and 18.

Result

c = (Correct answer is: 2 < c < 38)

Step-by-step explanation:

$$\begin{gathered} a=20 \\ b=18 \\ a+b>c \\ a+c>b \\ b+c>a \\ 20+18>c \\ 20+c>18 \\ 18+c>20 \\ 38>c \\ -2<c \\ 2<c \\ c=2<c<38 \end{gathered}$$

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