Question

Verifique quais triângulos são semelhantes e calcule o valor de x

Answer 1

$a) \\ \frac{10}{x} = \frac{12,5}{15} \\ \\ 12,5x=10.15 \\ 12,5x=150 \\ x=150\div12,5 \\ \\ x=12 \\ -------------------------- \\b) \\ \frac{x}{8} = \frac{8,75}{10} \\ \\ 10x=8.(8,75) \\ 10x=70 \\ x=70\div10 \\ \\ x=7 \\ ----------------------$ 

$c) \\ \frac{x}{10,5} = \frac{3,2}{9,6} \\ \\ 9,6x=10,5.(3,2) \\ 9,6x=33,6 \\ x=33,6\div9,6 \\ \\ x=3,5 \\ ---------------------- \\ d) \\ \frac{12}{9} = \frac{x}{6} \\ \\ 9x=6.(12) \\ 9x=72 \\ x=72\div9 \\ \\ x=8$