I am going to miter the trim around a couple of triangular windows (actually square) and need some calculation help... I'm not very good at this. It's the two upper angles I'm thinking about. When I roughly estimated on the higher side, I got it to around 49-50 degrees, which I did by trying to saw at 47 degrees, which is the max on my saw, and it differed a bit. The test pieces didn't fit perfectly. That's the next problem... Are there saws that handle more than 47? I've read other threads about sawing wedges and placing them in the saw to angle the trim, but that seems a bit complicated.
 
  • Blueprint of a right-angled triangle; base 1980 mm, height 595 mm, top edge 150 mm, showing angles and dimensions, related to window frame cutting.
G gluecifer said:
I need to miter cut trim around a couple of triangular windows (actually square) and need some calculation help... I'm terrible at this.
It's the two upper angles I'm thinking of.
When I roughly estimated on the higher side, I got it to around 49-50 degrees, which I did by test cutting at 47 degrees, the max on my saw, and it was off a bit. The test pieces didn't fit together completely. That's the next problem...
Are there saws that handle more than 47? I've read other threads about cutting wedges and placing them in the saw to angle the trim, but it seems a bit complicated.
arctan((595-150)/1980) = 12.7 degrees gives you the acute angle. The other angle is then 90-12.7 = 77.3 degrees. On the saw, the angle setting is counted as 0 degrees for a perpendicular cut. To miter correctly, you should set the saw to 90 - half the angle (e.g., 90-77.3/2 = 51.4 degrees).

When the saw isn't enough, I have a triangle made of an MDF piece that I place between the wood and the fence. E.g., 30 degrees is easy by making a right triangle where one leg is twice as long as the other. In this way, you get 30 degrees extra to the saw's normal maximum angle.
 
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Thank you Bernieberg! 51.4 might indeed be very accurate then.
But the angle of the short side, with test pieces and by eye measurement, seems to be around 40 degrees.
Is it then 77.3/2 = 38.65 that the saw should be set to?

And can I now, with the help of the calculated degrees, determine what the angle of two wedges (as spacers) should be?
 
The angle at the top left of your figure is 77.3 degrees, so the saw should be set to 51.4 degrees according to previous calculations.

The angle at the top right is 90+12.7 = 102.7 degrees. Thus, the saw should be set to 90-102.7/2 = 38.7 degrees.

If 47 degrees is the maximum on your saw, you can, for example, make a 30-degree triangle as before, and then you set the saw to 21.4 degrees to make the sum correct. You can make that triangle with any angle, as long as you know what the angle is so you can calculate the remaining part where the saw should be adjusted.
 
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Thank you once again! I gave up this afternoon but now I'm looking forward to tomorrow. I also found a great example on YouTube about making a counterhold where you adjust according to a known angle.
 
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