Question

Calcule x e y,sabendo que os triângulos são semelhantes.

Answer 1

Resposta:

a)

$\frac{24}{x} = \frac{15}{20} \\ 15x = 20.24 \\ 15x = 480 \\ x = \frac{480}{15} \\ x = 32$

$\frac{y}{26} = \frac{15}{20} \\ 20y = 26.15 \\ 20y = 390 \\ y = \frac{390}{20} \\ y = \frac{39}{2}$

b)

$\frac{13}{y} = \frac{15}{5} \\ 15y = 5.13 \\ 3y = 13 \\ y = \frac{13}{3}$

$\frac{12}{x} = \frac{15}{5} \\ 15x = 5.12 \\ 3x = 12 \\ x = \frac{12}{3} \\ x = 4$

c)

$\frac{x}{8} = \frac{3}{6} \\ 6x = 8.3 \\ 2x = 8 \\ x = \frac{8}{2} \\ x = 4$

$\frac{y}{10} = \frac{3}{6} \\ 6y = 10.3 \\ 2y = 10 \\ y = \frac{10}{2} \\ y = 5$