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How many degrees would a triangle have in hyperbolic geometry?
170 degrees
In hyperbolic geometry triangles have 180 degrees?
.less than
What if the angles of a triangle don't add up to 180 degrees?
If the sum is not 180° you are not in Euclidean space.If the three angles of a triangle add up to more than 180° then you are in a spherical geometry, if the sum is less than 180° it is a hyperbolic space.It must add up to 180 degrees. If not, then it either isn't a triangle, or it is a triangle on some non-planar surface (e.g. a triangle formed by taking three points on a globe).
What is the triangle angle sum theorem?
The sum of the interior angles of a triangle in euclidean geometry equal 180 degrees
Can the sum of the angles of a triangle exceed 180 degrees?
In basic Euclidean geometry no, the sum of the angles always equals 180 degrees exactly. In non-Euclidean geometry it can exceed 180 degrees.
In hyperbolic geometry a triangle could potentially have how many degrees?
170
How many degrees would a triangle have in hyperbolic geometry?
170 degrees
In hyperbolic geometry triangles have 180 degrees?
.less than
What is right triangle geometry?
A right triangle in geometry is a triangle that has 90 degrees as one of its angles.
Prove that the sum of angles of a triangle is equal to 180 degress?
The proof is pretty simple, but hard to see without the pictures. SO here is a link to the proof with some pics. http://www.apronus.com/geometry/triangle.htm The answer depends on your geometry: In Euclidean geometry, the angle sum is 180 degrees, in Hyperbolic geometry it is less than 180 degrees, and in Elliptical geometry it is greater than 180 degrees.
What if the angles of a triangle don't add up to 180 degrees?
If the sum is not 180° you are not in Euclidean space.If the three angles of a triangle add up to more than 180° then you are in a spherical geometry, if the sum is less than 180° it is a hyperbolic space.It must add up to 180 degrees. If not, then it either isn't a triangle, or it is a triangle on some non-planar surface (e.g. a triangle formed by taking three points on a globe).
What is the total angles of an scalene triangle?
There are 3 angle in any triangle. Iin plane geometry. collectively they will add up to 180 degrees. In non-Euclidean geometry the total will be greater or less than 180 degrees depending on which geometry is being used.
A right triangle is a triangle that has how many degrees?
in plane geometry: all triangles have 3 angles which add up to 180 degrees, in a right triangle one of those 3 angles is 90 degrees.
Does an angle of an triangle sum up to 180 degrees?
The sum of the interior angles of a triangle always add up to 180 degrees. In Euclidean geometry
What is the triangle angle sum theorem?
The sum of the interior angles of a triangle in euclidean geometry equal 180 degrees
Can the sum of the angles of a triangle exceed 180 degrees?
In basic Euclidean geometry no, the sum of the angles always equals 180 degrees exactly. In non-Euclidean geometry it can exceed 180 degrees.
Do all angles of a triangle add up to 270 degrees?
It depends on whether the triangle is in euclidean geometry or not (flat plane). IN Euclidean Geometry they always add up to 180 degrees. On the surface area of a sphere it can be 270, 230, 360 etc. it depends on which type of triangle you are talking about
