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Fri, Mar. 3rd, 2006, 10:46 pm
Stupid immutable laws of the universe

What the bastard is the rule for determining the lengths of the sides of a right angle triangle when you know all the angles and the length of one side?

EDIT: brucius has supplied the answer.. or an answer - it worked either way.



Edit again: Changed the pic to a better one. The beaten metal texture isn't the desired end result, its just a handy one for highlighting the edges and stuff.

evilrobotshane - this should be passingly familiar.

Fri, Mar. 3rd, 2006 11:09 pm (UTC)
brucius

Take the angle BAC, then select the line which connects this angle to the right angle, of which the lenght is known (AB).

the other component line of the right angle (BC) is given by : BC/AB = tan BAC

then BC = AB * tan BAC

how that you have the lenght of AB and BC: AB(squared) + BC(squared) = AC(squared)


********C
*****/**|
* /******|
A---------B

Fri, Mar. 3rd, 2006 11:14 pm (UTC)
mr_wombat

Ah, excellent! thanks :)

I applied all that and it turned out I'd fucked up much earlier in the project so I just cheated a bit in the end but this'll keep me from making the same fuckup in future.

Fri, Mar. 3rd, 2006 11:15 pm (UTC)
wyvernfriend

pythagarus: the sum of the squares of the sides are equal to the square of the side opposite to the right angle

Fri, Mar. 3rd, 2006 11:16 pm (UTC)
mr_wombat

Thats not the one though, I only know/knew one side but I knew all the angles. That didn't stop me from reciting the theorem a dozen times while I furiously wiggled the mouse up and down.

Fri, Mar. 3rd, 2006 11:17 pm (UTC)
wyvernfriend

and I'm so wrong. I need to go to bed methinks and take painkilles to take away the headache and blurry vision and the stupid.

Fri, Mar. 3rd, 2006 11:24 pm (UTC)
mr_wombat

Honest to god, I'm hungover myself after trying to remember that sodding thing - get better :)

Sat, Mar. 4th, 2006 04:00 pm (UTC)
cartographer

If you don't have your old log tables hanging around, you can always cheat. http://ostermiller.org/calc/triangle.html

Tue, Mar. 7th, 2006 02:52 pm (UTC)
iresprite

Hey, that's cool! It looks like it belongs in some steampunk setting as an arcane symbol or sigil. Or maybe on the chest of a mecha. I'm sure that's just because of the beaten metal texture, though.

I have no idea what it is, but it looks very cool. :)

Wed, Mar. 8th, 2006 10:13 am (UTC)
mr_wombat

Its actually an adaptation of the engine/turbines of a mech from Heavy Gear but because I was doing it from memory I semi-screwed it up and it should look quite different but the basic shape and concept is about right.
Good point about the sigil though, I might scale it down and see if I can work it into something magic.