Question

Calculati aria triunghiului ABC,stiind ca A(-1,3),B(-3,-1) si C(2,1)

Answer 1

[tex]Cazul I \\ A_{ABC} = \frac{h*a}{2} \\ A_{ABC} = \frac{h*-1,3}{2} =\ \textgreater \ h=-1,3:2=\ \textgreater \ h=-0,65 \\ A_{ABC} =-1,3*-0,65=\ \textgreater \ 0,845 \\ Cazul nr.II: A_{ABC} = \frac{h*a}{2} \\ A_{ABC} = \frac{h*-3,-1)}{2} =\ \textgreater \ h=-3,-1:2=\ \textgreater \ h=-2 \\ A_{ABC} =-2*(-3)-1 \\ =6-1 \\ =5 \\ Cazul.nr.III: A_{ABC} = \frac{h*a}{2} \\ A_{ABC} = \frac{h*2,1}{2} =\ \textgreater \ h=2,1:2=\ \textgreater \ h=1,05 \\ A_{ABC} =1,05*2,1 \\ =2,205.[/tex]