Answer:
44
Step-by-step explanation:
We are given:
ab/c = 2 ---------------(1)
bc/a = 4 ---------------(2)
ac/b = 6 ---------------(3)
Multiplying (1) and (2):
ab*bc / ac = 8
b² = 8
Multiplying (2) and (3):
bc*ac/ab = 24
c² = 24
Multiplying (1) and (3):
ac*ab/bc = 12
a² = 12
Now, finding the value of a² + b² + c²:
8 + 24 + 12 = 44 (replacing the values of a² , b² and c²)
Hence, a² + b² + c² = 44
