Interior angles of a triangle have a sum of 180 degrees.
Sum of angles in a triangle is 180
equilateral triangle (and so, if it is in Euclidean (plane) space, it has 3 angles all of which are 60°) otherwise (in Hyperbolic or Spherical space) it is an isosceles triangle.
The sum of the internal angles of any triangle is 180 degrees. Any rectangle has four 90 degree internal angles, totalling 360 degrees.
All triangles have a total of 180 degrees for interior angles in Euclidean plane geometry
The sum of the interior angles of a triangle in euclidean geometry equal 180 degrees
Any number you like.
In basic Euclidean geometry no, the sum of the angles always equals 180 degrees exactly. In non-Euclidean geometry it can exceed 180 degrees.
The sum of the interior angles of a triangle always add up to 180 degrees. In Euclidean geometry
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 space, if the sum is less than 180° it is a hyperbolic space.The internal angles of a planar (Euclidean) triangle always add up to 180 degrees.
The sum of the three angles in any triangle is 180 degrees. In plane Euclidean geometry
The sum of the angles in all triangles (right, isosceles, scalene, and equilateral) in the Euclidean plane is 180 degrees or pi.
In plane Euclidean geometry there are 3 angles in any triangle that add up to 180 degrees and if given 2 angles the sum of the 2 angles minus 180 will give the measure of the 3rd angle
No. Non-Euclidean geometries usually start with the axiom that Euclid's parallel postulate is not true. This postulate can be shown to be equivalent to the statement that the internal angles of a traingle sum to 180 degrees. Thus, non-Euclidean geometries are based on the proposition that is equivalent to saying that the angles do not add up to 180 degrees.
isosceles * * * * * In the Euclidean plane such a triangle could not exist, because the sum of its angles exceeds 180 degrees.
It is an indication of an error, or the fact that the triangle is not in the Euclidean plane but on a convex surface.
Yes, in Euclidean space.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 space, if the sum is less than 180° it is a hyperbolic space.Example:Think of a triangle on the Earth with one corner at the North Pole, the other corners on the Equator 90° apart (say at 0° [west of Nigeria in Africa] the other at 90° W [West of Ecuador in South America]).Each of these angles is 90° so the sum is 270° -The surface area of the triangle is one eighth of the surface of the globe. But it is a triangle (on a sphere)!