Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °
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Thank you both very much for your patience . I can see I have a long road ahead of me to understand all of that. At least I know what to look for now.
I would work accurately for all steps and round off as appropriate. Otherwise the rounding errors will accumulate.
As you can see from the above drawing, each triangle is extrapolated from the one below.
This is the drawing for half of a window frame to be welded up.
Drawing would be good.
Would it help if I put up a quick drawing to explain what prompted the question?
Sorry. My mistake. When I'm 'on the case', my maths jumps ahead so fast, my arithmetic cannot keep up. You will have seen me do this sort of thing many times. What I meant was
How can the sides violate the triangle inequality?
These triangles are spiralling upwards. Does that help?
That is what I mean T3 is impossible.
So you have
How does that happen?
ok, if we start with an equal triangle number 1 with short sides 2m. Then the long side is 2.8m. That then becomes one of triangle number 2's short sides.so triangle number 2s long side is 4m. that then becomes a side for triangle number 3, etc etc.that creates a spiral made of triangles that increase in size in relation to the previous triangle. (I've rounded the math up a bit).
That is where I was trying to take you.