👤

Consideram triunghiurile asemenea ABC si MNP. Daca AB=6cm, AC=14cm si raportul de asemanare este k=2/5, calculate lungimile segmentelor [MN] si [NP].

Răspuns :

ΔABC≈ΔMNP⇒
⇒[tex] \frac{AB}{MN} =\frac{AC}{NP}=\frac{2}{5}\\ \frac{6}{MN}=\frac{14}{NP}=\frac{2}{5}\\ MN= \frac{6*5}{2}=15 cm\\ NP=\frac{14*5}{2}=35 cm [/tex]