I suggest you dont drive that car again until you figure out what hapened,
I know its hard to do but My first reaction is always the emergency brake to make a stop,
Me pesonally am a saftey freak and would rebuild that entire system
As for your problem,when was the last time this system was rebuilt
Brake system= steel lines,soft hoses,calipers.pads,rotors,master cylender,
If its all recently done (last 10 years)I would suggest a thurow inspection of the items I outlined above ,paying special attention to any steel lines tha may have the slinky type outer coating on them.they seem to trap water and rust the steel out with out you seeing it.I would check all soft hose.and replace any thing over 10years old on them. Use a flash liglht to look up into the caliper area for weepage,
I use a motive power bleeder,Makes real easey work of bleeding brakes if its used correctley,I say this because my next suggestion to you is to actually bleed the brakes,Until I got my motive power bleeder I hated to bleed the brakes on a midyear and it would end up being a 3 day job to bleed them.Know with the power bleeder its a 40 minute one man PERFECT BLEED!.
The power bleeder also finds leaks fast,and bad hoses Last year I bled the brakes for a shop who does my truck inspection,They replaced a steel line on a customers C3.They knew I was into vettes and asked my advice on how to bleed.I ran up and set up the bleeder.put it under pressure and theft it on under pressure,I was doing my normal saftey check of all the brake lines and looking for leaks,When I noticed the soft line was exspanding in the front right,(like a small blister in the hose) well they called there customer and the ended up doing an entire brake rebuild,
I realley have to stress DONT DRIVE IT,untill you find the problem.
Good luck