What is a triangle with three ninety degree angles called?

Question

OK heres some help, if you take a globe and draw a line at right angles from the equator to the pole and the a right angle back down to the equator you will have curved triangle with three 90 degree angles. what is it called.

Time to call a halt on this one. Some of you were able to describe the shape of the figure correctly, one gave a name I never heard of and one with the corrct description and name of an Euler Triangle. Drawn on a sphere the sum of the angles of a spherical triangle will always be greater than 180 upto 540 degrees. It helps to think out of the box sometimes, thanks everyone.
Regards
IG

Answer 1

An "Equiangular Euler Triangle"

A spherical triangle is a figure formed on the surface of a sphere by three great circular arcs intersecting pairwise in three vertices. The spherical triangle is the spherical analog of the planar triangle, and is sometimes called an Euler triangle

The study of angles and distances of figures on a sphere is known as spherical trigonometry.

Answer 2

Impossible...

A triangle's 3 angles must always add up to 180 degrees and no more/no less. A triangle can have, at most, 1 90 degree angle and that is a right triangle.

You may be thinking of a triangle with 3 60 degree angles. That would be an equilateral triangle.

Answer 3

I don't think you can have a "triangle" where all the angles are 90 degrees (the sum of all the angles of a triangle cannot exceed 180 degrees), but the following may help:

Triangle where all the angles are equal is called an Equalateral
Triangle where two of the angles are the same is called and Isosales.
And of course you have a right-angle triangle.

Answer 4

This would be called a Lobechevkian triangle. It can occur in the type of non-Euclidean geometry called Lobechevkian. It takes place on spherical surfaces. Imagine the prime meridian going around the earth and the equator going around the earth. Now, form a 3rd great circle through the north and south poles that forms the longitude line at 90 and 270 degrees.

Now, you have a spherical triangle or Leb triangle formed through the three points as follows: The north pole, where the prime meridian crosses the equator, where the 90 longitudinal line crosses the equator.

Answer 5

No such animal....a triangle has three sides by definition......with a 90 degree angle you can only have two 90 degrees with three sides, three 90 degree angles will give you four sides...so not a triangle! The interior angles of a triangle always add up to 180 degrees.....anything else is an impossibility, in this universe, at least!

Answer 6

Such a triangle does not exist. The total internal angles of ANY triangle MUST be equal to 180 degrees. The total angles can be neither more nor less than that. The only triangle that has all its angles equal is an equilateral triangle. In that case, each angle would be 60 degrees.

Answer 7

Impossible. Triangles only contain 180 degrees, so for each angle to be equivalent you would have 3 60 degree angles. This makes all the sides equal as well, and this is known as an equilateral triangle.

Answer 8

It's not possible that such a triangle exists. The three angles always adds up to 180 degrees, not 270 degrees. The lines from two 90 degree angles will be parallel and they will never meet to form an angle.

Answer 9

A triangle cant have 3-90 degree angles

Answer 10

Impossible, you can only have one ninety degree angle in a triangle, not 2 and definitely not 3. All 3 angles have to add up to 180.