Question

Pe lat AB a triunghiului ABC se ia un punct M prin care se duc dreptele MN || AC si MP || BC ( N apartine BC , P apartine AC). Aratati ca BN / BC + AP /AC =1

Answer 1

MN||AC⇒ T.Th    BM/AB=BN/BC
MP||BC⇒ T.Th    AM/AB=AP/AC
⇒ BN/BC + AP/AC= BM/AB+AM/AB= (AM+BM)/AB= AB/AB=1