Question

дано на фото найти x, y, z​

Answer 1

Исходя из подобия треугольников имеем:

$\frac{x}{12} = \frac{y}{18} = \frac{z}{24} = t$

x = 12t,

y = 18t,

z = 24t.

P(ΔABC) = x + y + z = 12t + 18t + 24t = 54t = 36,

t = 36/54 = (9·4)/(9·6) = 4/6 = 2/3.

x = 12·(2/3) = 4·2 = 8,

y = 18·(2/3) = 6·2 = 12,

z = 24·(2/3) = 8·2 = 16.