Six segmants

Given are 6 line segments with lengths of 3 cm, 4 cm, 5 cm, 7 cm, 8 cm, and 9 cm. How many equilateral triangles can make from them? List all the options.

Correct answer:

n =  11

Step-by-step explanation:

$$\begin{gathered} a+b>c \\ b+c>a \\ c+a>b \\ 3-4-5 \\ 3-5-7 \\ 3-7-8 \\ 3-8-9 \\ 4-5-7 \\ 4-5-8 \\ 4-7-8 \\ 4-7-9 \\ 5-7-8 \\ 5-7-9 \\ 7-8-9 \\ n=11 \end{gathered}$$

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