[tex]\it \Delta MNP\ \d si\ \Delta QRT\ sunt\ triiunghiuri\ mediane\ pentru \ \Delta ABC,\ respectiv\ \Delta MNP\\ \\ \dfrac{\mathcal{A}_{QRT}}{\mathcal{A}_{MNP}}= \dfrac{1}{2};\ \ \ \dfrac{\mathcal{A}_{MNP}}{\mathcal{A}_{ABC}}=\dfrac{1}{2};\ \ \dfrac{\mathcal{A}_{QRT}}{\mathcal{A}_{MNP}}\cdot \dfrac{\mathcal{A}_{MNP}}{\mathcal{A}_{ABC}} =\dfrac{1}{2}\cdot\dfrac{1}{2} \Rightarrow\dfrac{\mathcal{A}_{QRT}}{\mathcal{A}_{ABC}}=\dfrac{1}{4}[/tex]
