Unless the hardening/tempering of the "sear nose" portion of the trigger was bad when the revolver was assembled, there really is no other explanation for that "sear nose" to be broken/chipped off other than it hit the half cock notch on the hammer as the hammer fell. I'm surprised there is no apparent damage on the half cock notch of the hammer, but that is possible and still it broke off the tip of the sear nose.
Normally when one presses back on the trigger and keeps pressure on it as the gun goes off, the sear nose of the trigger will or is supposed to clear the half cock notch to keep the tip of the sear nose from breaking as the hammer falls. That trigger press actually pulls (or should pull) the sear nose well away from the half cock notch as the hammer rotates when the geometry of the parts are made correctly.
I do something rather extraordinary when doing "trigger jobs" or lightening the trigger pull weight and adjusting the "feel" of the trigger pull and break. After I do a good deal of work to get the trigger pull weight feeling good and down to the lower pull weight, the last thing I want is for the sear nose to break off because it hits the half cock notch as the hammer rotates.
So before I put spring tension back on the Trigger and Hammer, I keep them in the revolver or other type of lock and very carefully hold the trigger with one hand and lightly pull on it while I use my other hand to put a little pressure on the hammer to mimic the pressure put on the hammer by the hammer spring. As soon as I pull the trigger just far enough to the rear that the sear nose clears or comes out of the full cock notch, I try to hold the trigger in that position firmly. Then I push lightly on the hammer and see IF the half cock notch clears the sear nose of the trigger as the hammer goes all the way down. If it does not clear the half cock and even if it just barely touches it, I modify/file down the half cock notch until it does not touch the sear nose held in this position. This can take a few times filing a little metal off the half cock and trying it in the revolver before the half cock notch won't hit the sear nose this way. Now the reason this is extraordinary is because when you normally pull on the trigger and keep it pulled back until the gun fires, you pull the sear nose further away from the half cock notch than that. I go for this little extra clearance between the sear nose and half cock notch in case the finger slips off the trigger during firing.
To visualize what I'm talking about, scroll down to Fig. 3 in the following link. This shows taking metal off the full cock notch to reduce trigger pull weight and taking metal off the half cock notch to ensure the sear won't hit the half cock notch. Though the part shown is a tumbler, the full and half cock notches on a percussion revolver hammer work the same way.
http://www.nwtskirmisher.com/useful-locks.shtml
Now, I am not a fan of cutting down both the full cock and half cock notches when doing trigger jobs as shown in Fig. 3, I just am using that as an example on cutting a half cock notch so the sear nose clears it.
Gus