Property 6
\(\text{Ç}\left(ABC\right)=2u=a+b+c\)
\(u<x+y+z<2u\)
1.
\(\left(a+b+c\right)\in\mathbb{Z}\)
\(\Rightarrow\max\left(a+b+c\right)=?\)
2.
\(\left(x+y+z\right)\in\mathbb{Z}\)
\(\Rightarrow\min\left(x+y+z\right)=?\)
3.
\(\left(a+b+c\right)\in\mathbb{Z}\)
\(\Rightarrow\max\left(a+b+c\right)=?\)
Property 7
\(|AF|=|FC|\)
\(|BE|=|ED|\)
\(\frac{|a-b|}{2}<x<\frac{a+b}{2}\)
1.
\(|AF|=|FC|\)
\(|BE|=|ED|\)
\(\Rightarrow ?<x<?\)
2.
\(|AE|=|EC|\)
\(|DF|=|FB|\)
\(\Rightarrow ?<x<?\)
3.
\(|BF|=|FD|\)
\(|AE|=|EC|\)
\(\Rightarrow ?<x<?\)