To determine the type of a melted resistor, it's essential to analyze the circuit and identify its function, as measuring resistance may not yield accurate results due to the resistor's damage. Drawing a circuit diagram can help in understanding the overall design and pinpointing the resistor's value. The resistor's failure may be a symptom of a deeper issue, possibly caused by faulty capacitors or semiconductors, rather than an isolated incident. It's crucial to check for any short circuits or other damaged components that could lead to overheating. A multimeter will be useful for testing, but caution is advised when handling the circuit, especially if it's powered.