2006-12-23 20:19:33 · 20 answers · asked by Anonymous in Science & Mathematics ➔ Other - Science
Nobody does spherical geometry anymore?????
Come on guys! Stop thinking two dimensional!
Of course you can: it is a spherical triangle (a triangle drawn on a sphere).
You can even have triangles with 3 angles of 180 degrees: all grand circles!
Using six match sticks, can you make 4 equilateral triangles?
Of course you can: it is a pyramid.
2006-12-24 06:14:01 · answer #1 · answered by just "JR" 7 · 0⤊ 2⤋
I consider a figure simply called a triangle to be a figure in a plane. In plane geometry the sum of the angles in a triangle is 180 degrees, so the answer is no. If you ask how you can have a SPHERICAL TRIANGLE where the three angles are all 90 degrees, the examples given in other answers are how. See this link http://mathworld.wolfram.com/SphericalTriangle.html
2006-12-24 09:32:21 · answer #2 · answered by curious george 5 · 0⤊ 1⤋
No, and here's why: the triangle sum theorem says that the sum of all the angles in a triangle will always equal 180 degrees. We don't have to worry about anything outside the planar surface, because the three noncollinear points define a plane. 90+90+90=270. No triangle can exist trying to hold 270 degrees.
2006-12-23 22:50:55 · answer #3 · answered by campadrenalin 4 · 1⤊ 1⤋
The triangle sits on the surface of a sphere.
Here is a good example that I was taught. Look at a globe. Pick any two longitude lines that make a right angle at the N or S pole. Follow them down to the equator. the each make another right angle. This makes a triangle with 3 right angles.
On a side note, if you project this triangle onto a plane it will not always give you an equilateral triangle. It depends on the angle of the plane.
2006-12-23 20:29:10 · answer #4 · answered by xtpy792000 2 · 1⤊ 1⤋
There are 180 degrees in a triangle. If one angle is 90 degrees, the greatest that the other two angles could be is 45 degrees each.
2006-12-23 20:35:54 · answer #5 · answered by Max 6 · 1⤊ 1⤋
no it is not possible because of the fact that in any triangle the sum of the angles of any 3 sides is equal to 180 degrees...
2006-12-23 21:54:40 · answer #6 · answered by sue 2 · 1⤊ 1⤋
no a triangle must add up to 180 degrees total of all 3 sides
2006-12-23 20:36:36 · answer #7 · answered by teabag 1968 3 · 1⤊ 1⤋
You cannot!
The sum of the angles in any triangle total 180 degrees.
Unlrss it is a trick question,you cannot construct what you propose
2006-12-23 20:29:34 · answer #8 · answered by aburobroy 2 · 1⤊ 1⤋
On a globe the equator, the 0-meridian and the 90 degrees meridian form a spherical triangle
Th
2006-12-24 10:13:59 · answer #9 · answered by Thermo 6 · 0⤊ 1⤋
It is impossible in geometry on a plane. I don't know the details but I remember seeing something where it is possible if the "triangle" is drawn on the surface of a sphere.
2006-12-23 20:23:44 · answer #10 · answered by Max S 2 · 1⤊ 2⤋