Question

Triunghiul ABC, M,N,P mijloacele lui [BC][CA][AM].Calculati AriaMNP/AriaABC?

Answer 1

[tex]\triangle ABC\sim \triangle MNP=\ \textgreater \ \\ \frac{MN}{AB} = \frac{MP}{AC} = \frac{BC}{NP} =k= \frac{1}{2} \\ \frac{A_{\triangle MNP}}{A_{\triangle ABC }} =k^2= \frac{1}{4} [/tex]