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With all this thinking going on does anyone really believe a 9", 16", 25" triangle has a 90 degree angle?
Tom
Tom,
You are quite correct! The magic triangle (3,4,5) or any MULTIPLE there of, has a right angle between the 3 & 4 sides. However a 9, 16, 25 triangle is NOT a multiple of the 3, 4 , 5 triangle. Actually, I think that the 9, 16, 25 gotcha is part of an old SAT test question.

In actuality, the 9, 16, 25 geometric figure is only a straight line, or two straight lines one on top of the other.
 
Tom,
You are quite correct! The magic triangle (3,4,5) or any MULTIPLE there of, has a right angle between the 3 & 4 sides. However a 9, 16, 25 triangle is NOT a multiple of the 3, 4 , 5 triangle. Actually, I think that the 9, 16, 25 gotcha is part of an old SAT test question.

In actuality, the 9, 16, 25 geometric figure is only a straight line, or two straight lines one on top of the other.

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In a right triangle a2+b2=C2. I don't have a square symbol on my key pad so to 2 in a2 means a squared. What you are telling me is:

a2(9) + b2(16) = c2(25)
or
81+256=625 I don't think so!

Maybe 15, 20, 25 treiangle would have a 90 degree angle.
Tom
 
Of couse Tom is correct. What ever number you multiple one side by you multiply all sides by. Hense 3 x 5 = 15, 4 x 5 = 20 and 5 x 5 = 25. So a 15' x 20' right angle triangle has a 20' hypotenuse. I wasn't sure if y'all were joking or serious.
 
Does it have a right angle? yes. Is it a right triangle? no

Weather it's a trick question or a typo I think you all missed it.

check it out if you disagree.


If 9 is the square of 3, 16 is the square of 4 than 9 + 16 is 25 and if you take the square root of 25 you have 5 hence the 3x4x5 triangle which solves the Pythagorean Theorem A2 + B2 = C2 but as 9x16x25 it is a straight line. Check it out measure out 25” than layout 16” and for 9” to form a triangle it makes a straight line 25” long. The line are on top of one another.
The answer is NO it is not a triangle, NO it does not have a right angle.
 
OK my fault I only looked at cabinetmans drawing and didn't check the math. I'll take my foot out of my mouth now if its ok. :laughing:

9x16x18.3576 would be the correct measurements.

Sorry you fell for that drawing. A quick look may appear to make sense. I didn't say it was a right triangle. I didn't say anything. It represents a lesson I learned when reading plans. It's a drafting illusion so to speak where a drawing looks correct, and may be clad with dimensions that appear to support the drawing.

For example: Do the numerical dimensions match what the details show? If dimensions are in feet and inches, are they mistaken for inches?

This is a good lesson to pay attention to details.
IOW, just because something looks right, doesn't mean it is right.






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Ok folks, I'll chime in on this one. First, when I check for squarness, I don't even bother with the 3, 4, 5 thing unless I don't have a calcuator handy. But 9 of 10 times I have a calculator, so I measure the shortest leg, mark the longer leg at the same point, multiply by 1.414 and that is my hypoteneuse. Second, and this is just a neat FYI. I had a very, very old hand miter box once. It was a top of the line saw in its time, I'm sure. It had no angles marked on it. Instead, it had numbers. 3, 4, 5, 6, 8 and I think 10. For the longest time I couldn't figure out what these meant. Then one day it dawned on me. Each number meant that that was the number of sides you would get if you made an enclosed shape by cutting that particular angle. Example: If I set it to 8, my shape would have 8 sides (45 degrees on each corner.) 10 would give 10 side at 36 degrees etc.
 
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E
xample a 22 1/2degree setting on the mitersaw produces a cut or angle on the workpiece of 67 1/2 degrees. This might be a source of confusion :blink: for folks just starting out. Same thing on the table saw,
a miter gauge set to 30 degrees will result in a 60 degree cut angle
on the piece. Same as the miter saw, 90 minus 30 = 60.


The situation as I see it according to the above statement is that the mitre gauges on the table saw and the mitre saw are calibrated for measuring the PIECE BEING CUT OFF, NOT THE PIECE HELD AGAINST THE FENCE. Correct?

Your right in your statement that angles can be confusing. I made it through geometry class but using this knowledge in woodworking can be very trying.
 
What is special about the 31.6 mark?
That has had my curiosity stored
I think, (keyword THINK) it's to do with crown molding. If you lay the board flat and set the bevel to 45 and the angle to 31.6, it will give you a miter for the corners. But I'm not 100% sure about this.
 
HELP ! I'm over here hanging off the table at 361 degrees

Thats impossible because there are only 360 degrees in a full circle. 361 degrees would actually be only 1 degree. Also how may minutes are 1/2 degree....how many seconds? Does it help to think of 22 degrees 30 minutes and 0 seconds as 50% of 45 degrees which is 1/8 of a full circle :smile:
 
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