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Maths help

Blogs > Spenguin
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1 2 Next All
Spenguin
Profile Blog Joined November 2007
Australia3316 Posts
March 08 2008 05:18 GMT
#1
How would I find the circumcentre of a triangle?

I'm just looking at this work and going wtf!?!

< TeamLiquid CJ Entusman #46 > I came for the Brood War, I stayed for the people.
Muirhead
Profile Blog Joined October 2007
United States556 Posts
March 08 2008 05:24 GMT
#2
What data are you given? Usually the simplest way to construct the circumcenter is to construct the perpendicular bisectors of two of the sides and see where they intersect.
starleague.mit.edu
Spenguin
Profile Blog Joined November 2007
Australia3316 Posts
March 08 2008 05:32 GMT
#3
All im given is a triangle and instructions to draw it, how would i construct the perpendicular bisectors?
< TeamLiquid CJ Entusman #46 > I came for the Brood War, I stayed for the people.
Seraphim
Profile Blog Joined March 2006
United States4467 Posts
March 08 2008 05:35 GMT
#4
Why don't you use your awesome liquibet trophy to help you figure it out?
Hermes | Bisu[Shield] Fighting~!
Spenguin
Profile Blog Joined November 2007
Australia3316 Posts
Last Edited: 2008-03-08 05:44:37
March 08 2008 05:42 GMT
#5
[insert witty retort]

You really have nothing better to do but laugh at me while I struggle?

I can get 2 perpendicular bisectors.

Here's what I've done, with the given triangle i have put in a dot, from there I have drawn two lines from that dot which meet at two of the sides of the triangle, the angle of the line from the dot and the triangle side is 90 degrees, i can't seem to get a third line or make sense of this fucking shit.
the triangle is isosceles btw.
EDIT: got three lines that have 90 degrees, now i have to draw a circle around the triangle, with its vertices on the circumference, massive wtf still, no one can help me.
< TeamLiquid CJ Entusman #46 > I came for the Brood War, I stayed for the people.
Spenguin
Profile Blog Joined November 2007
Australia3316 Posts
March 08 2008 05:48 GMT
#6
Alright I kinda got it how to draw it, what its use is i have no idea, still can't get the compass working. stupid maths assignment, pithy excuse for an assignment
< TeamLiquid CJ Entusman #46 > I came for the Brood War, I stayed for the people.
Dromar
Profile Blog Joined June 2007
United States2145 Posts
March 08 2008 05:49 GMT
#7
On March 08 2008 14:42 Spenguin wrote:
[insert witty retort]

You really have nothing better to do but laugh at me while I struggle?

I can get 2 perpendicular bisectors.

Here's what I've done, with the given triangle i have put in a dot, from there I have drawn two lines from that dot which meet at two of the sides of the triangle, the angle of the line from the dot and the triangle side is 90 degrees, i can't seem to get a third line or make sense of this fucking shit.
the triangle is isosceles btw.
EDIT: got three lines that have 90 degrees, now i have to draw a circle around the triangle, with its vertices on the circumference, massive wtf still, no one can help me.


uh....

weren't you supposed to learn this in class? I've never heard of a "circumcentre," but I'm guessing it's pretty simple.

I'm gonna make some visual aids. I'll edit in a bit.
fight_or_flight
Profile Blog Joined June 2007
United States3988 Posts
Last Edited: 2008-03-08 05:55:05
March 08 2008 05:51 GMT
#8
On March 08 2008 14:48 Spenguin wrote:
still can't get the compass working

Do you have to do this mathematically or can you use a compass?

On March 08 2008 14:49 Dromar wrote:
Show nested quote +
On March 08 2008 14:42 Spenguin wrote:
[insert witty retort]

You really have nothing better to do but laugh at me while I struggle?

I can get 2 perpendicular bisectors.

Here's what I've done, with the given triangle i have put in a dot, from there I have drawn two lines from that dot which meet at two of the sides of the triangle, the angle of the line from the dot and the triangle side is 90 degrees, i can't seem to get a third line or make sense of this fucking shit.
the triangle is isosceles btw.
EDIT: got three lines that have 90 degrees, now i have to draw a circle around the triangle, with its vertices on the circumference, massive wtf still, no one can help me.


uh....

weren't you supposed to learn this in class? I've never heard of a "circumcentre," but I'm guessing it's pretty simple.

I'm gonna make some visual aids. I'll edit in a bit.

It looks pretty hard to me, lol.
Do you really want chat rooms?
Spenguin
Profile Blog Joined November 2007
Australia3316 Posts
Last Edited: 2008-03-08 05:58:26
March 08 2008 05:56 GMT
#9
I have to use a compass, we didn't learn this shit in class, she just handed us this booklet, your assignment is due 14th March, fuck you, now onto what were doing today, plus i have work in half an hour. I wanna kill a puppy.

EDIT: Wait, here she has us drawing this stuff (waste of time) when you can do it with numbers!
< TeamLiquid CJ Entusman #46 > I came for the Brood War, I stayed for the people.
fight_or_flight
Profile Blog Joined June 2007
United States3988 Posts
March 08 2008 05:58 GMT
#10
This may help.

http://www.mathopenref.com/trianglecircumcenter.html
Do you really want chat rooms?
Dromar
Profile Blog Joined June 2007
United States2145 Posts
Last Edited: 2008-03-08 06:15:38
March 08 2008 06:01 GMT
#11
OK.

It is as I thought (I think).

Wikipedia is your friend

[image loading]


Ok, looking at it a bit more, the picture shows an equilateral triangle, NOT an isoceles.


Anyway, you just take the perpendicular bisection of the three sides of the triangle, and the circumcenter is where they cross. In english, that means, for each side of the triangle, you draw a perpendicular line through the triangle in the middle of that side of the triangle. I'll upload a better paint pic soon.

[image loading]


The Wikipedia link gives examples of irregular triangles.
Spenguin
Profile Blog Joined November 2007
Australia3316 Posts
March 08 2008 06:03 GMT
#12
Oooh, looks pretty, I'll bookmark it and refer to it, thanks a lot.
< TeamLiquid CJ Entusman #46 > I came for the Brood War, I stayed for the people.
micronesia
Profile Blog Joined July 2006
United States24734 Posts
March 08 2008 06:05 GMT
#13
Does anyone know where to find a derivation of Heron's area of a triangle?
ModeratorThere are animal crackers for people and there are people crackers for animals.
Spenguin
Profile Blog Joined November 2007
Australia3316 Posts
March 08 2008 06:08 GMT
#14
Does help if I get a compass that doesn't keep moving off the line. Thanks for the links.
< TeamLiquid CJ Entusman #46 > I came for the Brood War, I stayed for the people.
Polemarch
Profile Joined August 2005
Canada1564 Posts
Last Edited: 2008-03-08 06:12:19
March 08 2008 06:09 GMT
#15
hmm...

the circumcentre is equidistant from all 3 points of the triangle, right?

so how about this. call the triangle ABC:
1. set your compass to some random length
2. draw circles of a random (but equal) length centered at A and B such that these circles intersect at two points, say P and Q. draw a line through PQ. this is the line of all points that are equidistant from A and B.
3. repeat the above to get the line of points equidistant from B and C.
4. the intersection point of the two lines above is equidistant from A, B, and C; so it's the circumcentre.
I BELIEVE IN CAPITAL LETTER PUNISHMENT!!!!!
Spenguin
Profile Blog Joined November 2007
Australia3316 Posts
March 08 2008 06:11 GMT
#16
On March 08 2008 15:05 micronesia wrote:
Does anyone know where to find a derivation of Heron's area of a triangle?



All wikpedia has is this, http://en.wikipedia.org/wiki/Heron's_formula#History
< TeamLiquid CJ Entusman #46 > I came for the Brood War, I stayed for the people.
Polemarch
Profile Joined August 2005
Canada1564 Posts
March 08 2008 06:12 GMT
#17
googling heron's formula derivation:

http://mathforum.org/library/drmath/sets/select/dm_heron.html
I BELIEVE IN CAPITAL LETTER PUNISHMENT!!!!!
Spenguin
Profile Blog Joined November 2007
Australia3316 Posts
March 08 2008 06:12 GMT
#18
On March 08 2008 15:09 Polemarch wrote:
hmm...

the circumcentre is equidistant from all 3 points of the triangle, right?

so how about this. call the triangle ABC:
1. set your compass to some random length
2. draw a circle of a random length centered at A and B such that these circles intersect at two points, say P and Q. draw a line through PQ. this is the line of all points that are equidistant from A and B.
3. repeat the above to get the line of points equidistant from B and C.
4. the intersection point of the two lines above is equidistant from A, B, and C; so it's the circumcentre.


I have been able to do that without a compass, if it is passible I'll have to check with a working compass.
< TeamLiquid CJ Entusman #46 > I came for the Brood War, I stayed for the people.
fight_or_flight
Profile Blog Joined June 2007
United States3988 Posts
Last Edited: 2008-03-08 06:14:43
March 08 2008 06:13 GMT
#19
On March 08 2008 15:12 Polemarch wrote:
googling heron's formula derivation:

http://mathforum.org/library/drmath/sets/select/dm_heron.html

I feel like such a failure.

On March 08 2008 15:05 micronesia wrote:
Does anyone know where to find a derivation of Heron's area of a triangle?

This it?
http://mathforum.org/library/drmath/sets/select/dm_heron.html
Do you really want chat rooms?
micronesia
Profile Blog Joined July 2006
United States24734 Posts
March 08 2008 06:30 GMT
#20
Yes, great, thanks guys.
ModeratorThere are animal crackers for people and there are people crackers for animals.
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