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1)RS||NP,MR=5 cm,RN=3 cm;SP= 4 cm,Calculează lungimea segmentului [MP];

2)AE=6;EB=12 cm;AD=4;AC=12;m(AED)=70 grade .Determinati m(ABC)


Răspuns :

ΔMNP RS||NP ΔMRS~ΔMNP =>[tex] \frac{MR}{MN} = \frac{MS}{MP} [/tex] [tex] \frac{5}{5+3} = \frac{MS}{MS+4} [/tex] [tex] \frac{5}{8} = \frac{MS}{MS+4} [/tex] 8MS=5MS+20 3MS=20 MS=[tex] \frac{20}{3} [/tex] b)