a,b,c dp cu 2, 3, 6
a/2 = b/3 = c/6=k
a = 2k ; b = 3k ; c = 6k
c² - b² + 2ab - a² = 560
(6k)² - (3k)² + 2 ×2k×3k - (2k)² = 560
36k² - 9k² + 12k² - 4k² =560
35k² = 560⇒ k² = 16 ⇒ k = 4
a = 2k = 2 × 4 = 8 ; b = 3k= 3 ×4 = 12 ; c = 6k = 6 × 4 = 24
deci a = 8; b = 12 si c = 24