Question

(a, b, c) i. P(2,4,5)
Axbxc=25.

Answer 1

Explicație pas cu pas:

$2a = 4b = 5c = k$

$a = \dfrac{k}{2} \ ; \ b = \dfrac{k}{4} \ ; \ c = \dfrac{k}{5}$

$a \cdot b \cdot c = \dfrac{k}{2} \cdot \dfrac{k}{4} \cdot \dfrac{k}{5} = \dfrac{ {k}^{3} }{40}$

${k}^{3} = 25 \cdot 40 = 1000 = {10}^{3}$

$\implies k = 10$

$a = \dfrac{10}{2} \implies a = 5 \ \ \ \\ b = \dfrac{10}{4} \implies b = 2.5 \\ c = \dfrac{10}{5} \implies c = 2$