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If abc is triangle, the angles 1,2 and 3 are equal and the angles 4,5 and 6 are equal and the angles 7,8 and 9 are equal
prove that:
the triangle xyz is equilateral triangle
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If abc is triangle, the angles 1,2 and 3 are equal and the angles 4,5 and 6 are equal and the angles 7,8 and 9 are equal
prove that:
the triangle xyz is equilateral triangle
The very hard part of your post is, WHAT is your exact question!
If abc is triangle, the angles 1,2 and 3 are equal and the angles 4,5 and 6 are equal and the angles 7,8 and 9 are equal
prove that:
the triangle xyz is equilateral triangle
click here to see shape:
http://vbs.8k.com/tra.gif
Hmm - is that flat (2D) or is it 3D? If it's 3D which lines are in the back and which to the front?
abc is equilateral since 1+2+3 = 4+5+6 = 7+8+9 = 60° so ab = ac = bc (1=2=3...=20°)
(for the following reasoning the angles don't really matter but for completeness...)
looking at axc: with 1=4 it follows that ax = cx (and with 1=4=20° the other angle is 180°-40° = 140°)
it also follows that cbz = bay = acx
so: cz = cx = bz = by = ay = ax (remaining angles = (180° - 20°)/2 = 80°)
it follows that czx = byz = axy
so that zx = xy = yz (angles: 360° - 140° - 2*80° = 60°)
q.e.d
Helger
sorry for the last post, but at first the picture didn't show
Wrong assumption.Quote:
abc is equilateral since 1+2+3 = 4+5+6 = 7+8+9 = 60° so ab = ac = bc (1=2=3...=20°)
The question is
In other wordsQuote:
If abc is triangle, the angles 1,2 and 3 are equal and the angles 4,5 and 6 are equal and the angles 7,8 and 9 are equal
prove that:
the triangle xyz is equilateral triangle
a) 1=2=3
b) 4=5=6
c) 7=8=9
He never said that 1+2+3 = 4+5+6 = 7+8+9.
You are asked to prove that the given triangle is an equilateral triangle. And the very first step you are doing is..
assuming it an equilateral triangle. :p :p :p
hrmpf. might be true in a way LOL.
The picture doesn't work. I click on it then a page comes up saying i can't open it, it's forbidden. Can you just post the pic??
I Think that picture work now, I f It does not work tell me
I got this warning:
Quote:
Forbidden
Remote Host: [208.185.127.161]
You do not have permission to access http://vbs.8k.com/tra.gif
Data files must be stored on the same site they are linked from.
Thank you for using FreeServers
Sorry 'bout that. I clicked on the origional link and it didn't work, so i typed in the URL and Hey presto!!
I think i can do it, but by tomorrow :cool: