You can't
A triangle has to have 180 degrees
No more
No less
2007-08-29 02:52:26
·
answer #1
·
answered by Anonymous
·
1⤊
1⤋
The obvious answer is that it is impossible, because everyone knows that the sum of the angles in a triangle is equal to 180 degreees.
But consider this:
Fly from the equator along the Greenwich mean line, and at the north pole, turn 90 degrees and fly back down the 90 degree longitude, to the equator. Then turn 90 degrees, and fly along the equator back to your starting point, and turn 90 degrees back to the direction you were facing at the start.
You have just flown round a triangular course, and turned a total of 90 + 90 + 90 degrees = 270 degrees.
How come? - Because you have traced your triangular course along the surface of a sphere, and the angles of a triangtle drawn on the surface of a sphere always total more than 90 degrees.
On the other hand, if you traced a triangle on a surface of negative curvature (like the surface of a saddle), the sum of the angles would always be less than 90 degrees.
The 'three angles of a triangle equal 90 degrees' rule only applies to a flat surface.
This is of importance in considering global triangulation.
2007-08-29 10:00:09
·
answer #2
·
answered by AndrewG 7
·
2⤊
0⤋
There is NO way to form a triangle that has a sum greater than 180 degrees. All triangles no matter their shape or size will always equal 180 degrees.
2007-08-29 09:55:59
·
answer #3
·
answered by Anonymous
·
0⤊
0⤋
Only triangles on flat, i.e. plane surfaces, have the sum of their interior angles = 180.
For your case, you must draw the triangle on a surface like a balloon or a globe or some spherical object. Now the sum of the angles will ALWAYS be greater than 180.
There are geometries other than plane geometry. The geometry which uses the outside of a sphere for its surface is very useful in navigation, for example. It is called Riemanian Geometry or elliptic geometry.
(Note: there is another geometry whereby the sum of the interior angles of a triangle is always less than 180. That is called Poincare geometry or hyperbolic geometry.)
2007-08-29 10:06:49
·
answer #4
·
answered by discover425 2
·
0⤊
0⤋
Use non-Euclidian geometry.
"In hyperbolic geometry the two rays extending out in either direction from a point P and not meeting a line L are considered distinct parallels to L; among the results of this geometry is the theorem that the sum of the angles of a triangle is less than 180°. "
Scroll down the link to: Elliptic Geometry.
"The angles of a triangle formed by arcs of three great circles always add up to more than 180°"
2007-08-29 09:54:44
·
answer #5
·
answered by S. B. 6
·
2⤊
0⤋
Draw it on the surface of a sphere instead of a plane. If you restrict the triangle to a non-curve surface, i.e. a plane, you can't have any other result than the sum of the angles being 180 deg. If you draw the triangle on a concave surface, then the sum of the angles can be less than 180 degrees. Basically, you have to go to non-Euclidean geometries which involves curved surfaces.
2007-08-29 09:53:51
·
answer #6
·
answered by nyphdinmd 7
·
4⤊
0⤋
well all angles of a triangle have to add up to 180 degrees so if the angles add up to more than 180 degrees then it's not a triangle...unless it's a bunch of triangles formed into a different polygon.
2007-08-29 09:52:36
·
answer #7
·
answered by insanity1990 2
·
0⤊
0⤋
How can that be? 180 degrees is the maximum angle that a triangle may have.
2007-09-02 03:35:55
·
answer #8
·
answered by Jun Agruda 7
·
3⤊
0⤋
No such thing.
2007-08-29 09:51:29
·
answer #9
·
answered by Martin K 2
·
0⤊
0⤋