(a, b, c) ip (2, 3, 4) ⇒ 2a = 3b = 4c = k
⇒ a = k/2, b = k/3, c = k/4
a² = (k/2)² = k²/4
b² = (k/3)² = k²/9
c² = (k/4)² = k²/16
a² + b² + c² = k²/4 + k²/9 + k²/16
cmmmc (4, 9, 16) = 144
(36k² + 16k² + 9k²)/144 = 976
61k²/144 = 976
61k² = 976 × 144
61k² = 140544
k² = 140544 ÷ 61
k² = 2304
k = √2304
k = 48
a = 48/2
a = 24
b = 48/3
b = 16
c = 48/4
c = 12
- Lumberjack25