2006-11-02 08:42:21 · 15 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
sure
not in "flat" (Euclidian) space though.
but on a mere sphere, this is quite easy. Have one summit on, say, the North pole, take two parallels, pull them away from each other until you have a right angle between them. At the equator they'll also for right angles w the equator (by definition).
You'll have a triangle with three right angles.
Actually this relates to one of the definitions for the curvature of a geometrical space. If the sum of the angles of a triangle is 180 degrees (or pi radians) you have flat space. If it is more than that, you have positively curved space. If it is less than that, you have negatively curved space.
Hope this helps
2006-11-02 09:09:04 · answer #1 · answered by AntoineBachmann 5 · 2⤊ 0⤋
Not in Euclidian geometry because the angles of a triangle add up to 180 degrees. (3 * 90 = 270).
However, if you are allowed to create a triangle on the surface of a sphere you can. Draw one side along the equator. Draw the other side at 0 degrees longitude to the pole, and the other side at 90 degrees longitude also to be pole. Each "line" will meet at a 90 degree angle.
2006-11-02 08:48:09 · answer #2 · answered by Puzzling 7 · 0⤊ 0⤋
No. A triangle is defined as a shape having the sum of the interior angles = 180 degrees. A right angle by definition = 90 degrees. 3 right angles = 3 * 90 = 270 degrees.
So 270 degrees doesnt equal 180 degrees.
2006-11-02 08:51:26 · answer #3 · answered by ms mystery 3 · 0⤊ 1⤋
Not at all. Draw it. A right angle looks like a capital L a square has 4 right angles (1 in each corner) it is not possibel to make a triangle with 3, it would be like a square missing a side.
2006-11-02 08:46:26 · answer #4 · answered by curious 2 · 0⤊ 1⤋
No.
All the angles in a triangle must add up to 180 degrees. A right angle is 90 degrees- three of them would be 270 degrees, so that's impossible in a flat plane.
2006-11-02 08:44:46 · answer #5 · answered by mtfbwy 3 · 0⤊ 1⤋
interior angles of all triangles = 180 and as a right angle = 90 you can never have three in a triangle
2006-11-02 08:49:37 · answer #6 · answered by patti_felz 4 · 0⤊ 1⤋
No. Think of it. put two right angles together, and you have the bottom of a square. How would you join the tops to make a triangle? you would have to have an angle bigger than a right angle.
2006-11-02 08:44:56 · answer #7 · answered by Carmel-by-the-sea 2 · 0⤊ 1⤋
Not in Euclidean geometry. But there are non-Euclidean ways to do it.
easy answer. The three angle add to 180 right? You do the math and see that it's not even possible with two 90º angles.
2006-11-02 08:46:51 · answer #8 · answered by Anonymous · 1⤊ 0⤋
If you draw it in a space/time warp
Space and Time Warps
In science fiction, space and time warps are a commonplace. They are used for rapid journeys around the galaxy, or for travel through time. But today's science fiction, is often tomorrow's science fact. So what are the chances for space and time warps.
Read more --> http://www.hawking.org.uk/lectures/warps.html
2006-11-02 08:47:17 · answer #9 · answered by DanE 7 · 0⤊ 1⤋
In Euclidean space, no. On a sphere, certainly.
2006-11-02 08:46:20 · answer #10 · answered by Anonymous · 2⤊ 0⤋