I am not one that thinks of the exposure triangle as a set of ‘hard and fast rules/numbers/settings’. I tend to be a more ‘casual’ about it than most photographers. Perhaps that’s one of the advantages of being an amateur rather than pro photographer.
Instead, I think of ‘I want
more of xxx, so I need to
increase (or
decrease) yyy’ to get it. Yes, I could count the clicks when I make adjustments. (Let’s see…4 clicks smaller aperture…3 clicks slower shutter plus 1 click faster ISO to compensate…no, wait…2 + 2 will work…no…maybe 1 + 3…

Instead, I take the shot after making the adjustments I think should work for what I want, then look at the histogram to see if I need to fine-tune it a bit and shoot again.
For example, when I want a very thin DOF, perhaps only in inches, I know I have to shoot ‘wide open’, or close to it, with whatever lens I want to use for the shot. Generally speaking, the super-thin DOF needs a lens like f2.8 or ‘faster’ (smaller f-stop number = larger aperture), as well as being ‘reasonably close’ to the subject. That’s because even without changing the lens or the camera settings, as the distance to the subject (focus point) gets smaller, the DOF gets smaller, too. Simply moving back a few steps can double the depth (‘thickness’, if you will) of the DOF. Of course, opening up the aperture requires speeding up the shutter speed and/or slowing down the ISO speed to keep the proper exposure.
In situations where I want perhaps 10 feet of DOF for a group shot, I know I need to have the aperture ‘somewhere in the middle’, perhaps f5.6 or f8, maybe even f10 (2/3 stop). Alternatively, I could step back to perhaps 25-30 feet from the subject and shoot at maybe f4, but I also want to consider what I’d have to do with the shutter speed and ISO to compensate, and what effects those changes would have on the picture.
One of the biggest challenges I face is that most of my photography is taking pictures of people indoors at church functions. That means I need at least 1/125[SUP]th[/SUP] shutter speed and faster, to stop any possible subject-motion caused blurring (and camera motion, as well). While the general rule of 1/<focal length> shutter speed works adequately to stop camera shake, dealing with people/pets/moving subjects requires that faster shutter speeds are needed. Trying to stop an airplane at takeoff would likely require 1/1000 or faster. Even ‘posed’ subjects tend to move/blink/breathe, so 1/125[SUP]th [/SUP]– 1/160[SUP]th[/SUP] is my usual shutter speed for that. But that shutter speed requires
A LOT of light when shooting indoors, or a fast ISO (1600 and faster). More light = wider open aperture which causes a thinner DOF. Faster ISO results in more noise which degrades the picture, although it is correctable to some degree in post processing. I HAVE done no-flash photography at slower speeds like 1/20, 1/30, or 1/60 to keep a ‘reasonable’ DOF, aperture, or ISO, but sometimes the limits of ‘reasonable’ are ‘bent’ to accommodate. Also, at those speeds, there is frequently subject and/or camera motion blurring, so the keeper rate is in the neighborhood of 1 in 10 or less! Multiple shots are therefore necessary. Using a flash solves most of the indoor lighting problems, but there are some venues it’s not allowed (church ceremonies, typically). Flash use then adds a variety of new problems, especially in terms of shadows which can be dealt with by having it off camera, remotely triggered, bounced, having multiple flashes, etc.
In the end, it what it comes down to is deciding what I want to focus on/emphasize in the picture - stop action, deep DOF for a group shot, etc – then determine what I ‘must do’ in the exposure triangle to get it…usually choosing only one (1) of the three parts for ‘must do’. The other two settings of the triangle often fall into place, but many times, there have to be compromises made to ‘get the picture’.