Question

9. Os triangulos ABC e MNO são semelhantes. Deter.
mine as medidas neo.
C С
7 cm
18 cm
N
8 cm
15 cm​

Answer 1

Resposta:

n = 8,4 cm

0 = 9,6 cm

Explicação passo-a-passo:

se sao semelhantes, os lados sao proporcionais

$\frac{NO}{BC} = \frac{n}{AC}\\\\\frac{18}{15} = \frac{n}{7}\\\\\frac{6}{5} = \frac{n}{7}\\\\n = \frac{42}{5}\\\\n = 8,4$

$\frac{NO}{BC} = \frac{MN}{AB}\\\\\frac{18}{15} = \frac{o}{8}\\\\\\\frac{6}{5} = \frac{o}{8}\\\\\\o = \frac{48}{5} \\\\o = 9,6$