Question

determine os valores para m,n,o ultilizando os teorema de tales

Answer 1

Pelo teorema de Tales, temos:

$\frac{M}{5}= \frac{6}{3}\\ \\3 \times M = 5\times6\\\\M = \frac{30}{3}\\ \\M=10$

$\frac{15}{M}= \frac{N}{6}\\ \\N \times M = 15\times6\\\\N\times 10 = 90\\\\N=\frac{90}{10}\\ \\N = 9$

$\frac{O}{15}= \frac{3}{N}\\\\O \times N = 15\times3\\\\O\times 9 = 45\\\\O=\frac{45}{9}\\\\O = 5$