Triangles

Hanka cut the 20 cm long straws into three pieces each piece had a length in cm. Then, with these three pieces, she tried to make a triangle.

a) What circuit has each of the triangles?
b) How long can the longest side measure?
c) How many different triangles could be made?

Correct result:

o =  20 cm
a =  9 cm
n =  8

Solution:

$o=20=20\text{ cm}$

$$\begin{gathered} a+b+c=20 \\ a<b+c \\ 9<9+2 \\ a=9=9\text{ cm} \end{gathered}$$

$$\begin{gathered} 2,9,9 \\ 3,8,9 \\ 4,7,9 \\ 4,8,8 \\ 5,6,9 \\ 5,7,8 \\ 6,6,8 \\ 6,7,7 \\ n=8 \end{gathered}$$

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