Stim ca AD este mediana in triunghiul ABC
Mediana imparte Aria in doua arii egale.
Fie d(D,AC)=E
Aria unui triunghi:
[tex]A=\frac{b\times h}{2}[/tex]
a)
[tex]A_{ABC}=2\times A_{ADC}[/tex]
[tex]A_{ADC}=\frac{DE\times AC}{2}=\frac{8\times 12}{2}=48\ cm^2[/tex]
[tex]A_{ABC}=2\times 48=96\ cm^2[/tex]
b)
[tex]A_{ADB}=48=\frac{h\times AB}{2}\\\\ h=96:16=6\ cm[/tex]
