Question

Daca ∆ABC ~ ∆MNP, AB = 18 cm, MN = 24 cm si AC+MP=28 cm, determinati AC si MP.

Answer 1

Daca ΔABC asemenea cu ΔMNP atunci AB/MN=AC/MP=BC/NP⇒18/24=AC/MP⇒AC/MP=3/4⇒AC=3p(p inseamna parte de acelasi fel) si MP=4p. Daca AC+MP=28cm⇒3p+4p=28cm ⇒7p=28cm⇒p=4cm⇒    
ac=3·4cm=12cm si MP=4·4cm=16cm .