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Resistance is directly proportional to length. Find the ratio RAB : RBC : RAC.

1. RAB = 3 × (4 + 5) / 12
2. RBC = 4 × (3 + 5) / 12
3. RAC = 5 × (3 + 4) / 12
4. RAB : RBC : RAC = 27 : 32 : 35

Correct answer: RAB : RBC : RAC = 27 : 32 : 35

Solution

Resistance is directly proportional to length. By assigning lengths as 3, 4, and 5 for AB, BC, and AC respectively, the ratio of resistances is directly proportional to these lengths. Thus, RAB : RBC : RAC = 27 : 32 : 35.

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