[tex] x_{M}= \frac{ x_{A}+ x_{B} }{2} [/tex]
[tex] y_{M} = \frac{ y_{A}+ y_{B} }{2} [/tex]
[tex] x_{N} = \frac{ x_{A}+ x_{C} }{2} [/tex]
[tex]y_{N} = \frac{ y_{A} + y_{C} }{2} [/tex]
[tex] x_{P}= \frac{ x_{B} + x_{C} }{2} [/tex]
[tex] y_{P}= \frac{ y_{B}+ y_{C} }{2} [/tex]
Se obtin relatiile:
[tex] x_{A}+ x_{B}=4 [/tex]
[tex] x_{A}+ x_{C}=-2 [/tex]
[tex] x_{B}+ x_{C}=-4 [/tex]
De aici prin adunari si scaderi intre relatii se obtine: [tex] x_{A}=3 [/tex], [tex] x_{B}=1 [/tex] si [tex] x_{C}= -5 [/tex]
La fel se obtin relatiile intre ordonate:
[tex] y_{A}+ y_{B} =-2[/tex]
[tex] y_{A}+ y_{C}=8 [/tex]
[tex] y_{B}+ y_{C}=4 [/tex]
La fel se afla si valorile pentru yA, yB, yC.
La final se obtin A([tex] x_{A}, y_{A} [/tex]), B([tex] x_{B}, y_{B} [/tex]), C([tex] x_{C}, y_{C} [/tex]) care sunt varfurile triunghiului si coordonatele lor, avand valorile obtinute.
