[tex]\it AB^2=(x_B-x_A)^2+(y_B-y_A)^2 =(7-0)^2+(3-6)^2=49+9=58\\ \\ AC^2=(x_C-x_A)^2+(y_C-y_A)^2 =(3-0)^2+(1-6)^2=4+25=29\\ \\ BC^2=(x_C-x_B)^2+(y_C-y_B)^2 =(2-7)^2+(1-3)^2=25+4=29\\ \\ \\ AC^2=BC^2 \Rightarrow AC=BC \Rightarrow \Delta ABC-isoscel\ \ \ \ (1 )\\ \\ AC^2+BC^2=29+29=58=AB^2\stackrel{R.T.P.}{\Longrightarrow} ABC-dreptunghic, m(\hat C)=90^o \ (2)\\ \\ (1),\ (2) \Rightarrow \Delta ABC-\ dreptunghic\ isoscel,\ \ m(\widehat{C})=90^o[/tex]
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[tex]\it AB^2=(x_B-x_A)^2+(y_B-y_A)^2 =(7-0)^2+(3-6)^2=49+9=58\\ \\ AC^2=(x_C-x_A)^2+(y_C-y_A)^2 =(3-0)^2+(1-6)^2=4+25=29\\ \\ BC^2=(x_C-x_B)^2+(y_C-y_B)^2 =(2-7)^2+(1-3)^2=25+4=29\\ \\ \\ AC^2=BC^2 \Rightarrow AC=BC \Rightarrow \Delta ABC-isoscel\ \ \ \ (1 )\\ \\ AC^2+BC^2=29+29=58=AB^2\stackrel{R.T.P.}{\Longrightarrow} ABC-dreptunghic, m(\hat C)=90^o \ (2)\\ \\ (1),\ (2) \Rightarrow \Delta ABC-\ dreptunghic\ isoscel,\ \ m(\widehat{C})=90^o[/tex]