1.
Primul nr: x
Al doilea nr: x+1
Al treilea nr: x+2
L patrat + l patrat + h patrat = d patrat
x patrat + (x+1)patrat + (x+2) patrat = (√29) patrat
x patrat + x patrat + 2x + 1 + x patrat + 4x + 4 = 29
3x patrat + 6x + 5 = 29
3x patrat + 6x = 24
3x patrat + 6x - 24 = 0 | : 3
x patrat + 2 x - 8 = 0
x patrat + 4 x - 2x - 8 = 0
x(x-2) + 4(x-2) = 0
(x-2)(x+4) = 0
=> x - 2 = 0 => x = 2
=> x +4 = 0 => x = - 4 < 0 ( nu convine )
deci dimensiunile paralelipipedului sunt 2 cm, 3 cm, 4 cm.
