Battery cables and connections show up when trying to start b/c the starter current draw is too high for the poor connection, so the connection ceases to conduct .
But you tried the lights and radio. etc. to verify the battery.

WRONG...

Here is an old trick of the trade for bad battery connections.

Turn on the headlights .. you see you have them..now leave them ON......now, try the starter..as soon as the starter circuit is activated , you get no starter AND the lights also go out ..BAD battery connection.
..but , if the starter does not work and the lights STAY on when the key is turned to starter position , the battery connections are not the fault.
Simple and good trick to remember..