Question

8. In figurile de mai jos avem MN||BC, AB=8 cm, AN= 10 cm şi AM=12 cm. Calculati AC si MC pentru fiecare figura

Answer 1

Răspuns:

T Thales AB/ AN=AC/AM

fig1

8/10=AC/12

AC=8×12/10=48/5

MC=48/5+12=(48+5×12)/5=

(48+60)/5=108/5

AC=48/5

CM=108/5

fig2

NB/BA=MC/CA

(10-8)/8=CM/(12-CM)

2/8×(12-CM)=CM

1/4×12-CM/4=CM

3=5CM/4

CM=12/5

AC=12-12/5=(60-12)/5=48/5

AC=48/5