Question

ma poate ajuta cineva ugent!!!!
Dau coroana
5a​

Answer 1

Răspuns:

Explicație pas cu pas:

a.

$\frac{AM}{MB} =\frac{1}{6} \\\frac{AN}{AC} =\frac{1}{7}$

in a doua facem proportie derivata si obtinem:

$\frac{AN}{AC-AN} =\frac{1}{7-1} \\\frac{AN}{NC} =\frac{1}{6}$

Observam ca $\frac{AM}{MB}=\frac{AN}{NC} =\frac{1}{6}$⇒Reciproca Teoremei Thales ca MN║BC

b.

$\frac{AM}{MB}=\frac{2}{5} \\\frac{NC}{AC} =\frac{5}{7}$

Lucram la a doua prin proportii derivate si vom avea

$\frac{AC}{NC}=\frac{7}{5} \\\frac{AC-NC}{NC} =\frac{7-5}{5} \\\frac{AN}{NC} =\frac{2}{5}$

Observam ca $\frac{AM}{MB}=\frac{AN}{NC} =\frac{2}{5}$⇒Reciproca Teoremei Thales ca MN║BC