If this is really the RF world, you have to mention if the 50 ohm resistor is the end of the transmission line, or is there another 50 ohm line that continues past this 50 ohm resitor. Big difference.
If you just end with the 50 ohm resitor, then the power supplied to the resistor is 3 dB down from the full power available from the source (assumes low source impedance).
If you have a circuit trace/transmission line that extends beyond the 50 ohm resistor, that's different. The whole circuit is a source, with 3 dB pad (3 resistors), a 50 ohm transmission line with a load at the end of it of; 50 ohm resistor in parallel with a transmission line & end load (probably another 50 ohms). Hence you sort of have two 50 ohm loads, or 25 ohms. In reality, your end section of a transmission line plus load has to be transformed (with a simple formula) to an equivalent impedance and placed in parallel with your 50 ohm resistor, then that is the load for your 50 ohm transmission line.
Another way to look at it, if you have a 50 ohm transmission line and place a 50 ohm resistor at the end, that's very different from a 50 ohm resistor followed by another transmission line. Just putting a 50 ohm resistor somewhere in a transmission line doesn't absorb all the power. Seems like it might, but it doesn't. Placing a short circuit instead of the 50 ohm resistor will block any power from going down the transmission line, hence a 50 ohm replacing this short circuit can't also block all the power from going down the transmission line too.
kch