Question

VA ROG REZOLVARE COMPLETA AM NEVOIE URGENT. DAU COROANA​

Answer 1

Răspuns:

Explicație pas cu pas:

a. aplicam reciproca lui Thales

$\frac{AM}{MB} =\frac{AN}{NC}$

$\frac{2}{6} =\frac{5}{15}$

30=30 ⇒ MN║BC

b.

AN=AC-CN=10-8=2

$\frac{AM}{MB} =\frac{AN}{NC}$

$\frac{AM}{AM+MB} =\frac{AN}{AN+NC} \\\frac{AM}{AB} =\frac{AN}{AC} \\\frac{3}{15} =\frac{2}{10}$

30=30⇒MN║BC

c.

$\frac{AM}{MB} =\frac{AN}{NC} \\\frac{6}{8} =\frac{10}{20}$

120≠80⇒MN∦BC

d. AN=AC-NC=30-24

$\frac{AM}{AM+MB} =\frac{AN}{AN+NC} \\\frac{AM}{AB} =\frac{AN}{AC} \\\frac{4}{24} =\frac{6}{30}$

144≠120⇒MN∦BC