Question

Aflati aria triunghiului dreptunghic ABC cu m(A)=90 de grade , stiind ca lungimile laturile sale verifica relatia (AB-BC+AC) (AC+AB+BC)=12 cm patrati

Answer 1

[tex](AB-BC+AC) (AC+AB+BC)=12 \\ (AB+AC)^2-BC^2=12\\ (AB^2+2AB*AC+AC^2)-BC^2=12\\ (BC^2+2AB*AC)-BC^2=12\\ 2AB*AC=12\\ AB*AC=6\\ A=\frac{AB*AC}{2}=3[/tex]