Triangles

Hannah cut 20 cm straws into three pieces. Each piece had an integer length in centimetres. She then tried to form a triangle from the three pieces.

a) What is the perimeter of each such triangle?
b) What is the maximum possible length of the longest side?
c) How many different triangles could be formed?

Final Answer:

o =  20 cm
a =  9 cm
n =  8

Step-by-step explanation:

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

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

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

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