Question

urgent dau inima si coroana ​

Answer 1

Răspuns:

In Triunghiurule OBA si OAC => T.F.A. => $\frac{OM}{OA}=\frac{OB}{OC}=\frac{MB}{AC}$

In Triunghiurile OBA si OCN => T.F.A =>$\frac{OA}{ON}=\frac{OB}{OC}=\frac{AB}{NC}$

$=> \frac{OM}{OA}=\frac{OB}{OC}$ (1)*

$=>\frac{OA}{ON}=\frac{OB}{OC}$ (2)*

Din (1)* si (2)* => $\frac{OM}{OA}=\frac{OA}{ON}=> OA^2=OM*ON$