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Is it true that the sum of three angles of any triangle is 180 in non euclidean geometry?
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.
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What triangle has 2 acute angles?
In Euclidean geometry a right angle triangle has two acute angles. All others have three.
Which basic shape has 3 sides and 3 corners?
The basic shape with 3 sides and 3 corners is called a triangle. A triangle is a polygon with three straight sides and three angles. It is the simplest polygon in Euclidean geometry.
A triangle with three congruent angles?
A triangle with three congruent angles
A polygon with three sides and three angles?
It's probably a triangle. A triangle has three sides and three angles.
What type of triangle has three equal sides and three equal angles?
A triangle with three equal sides and three equal angles is called an equilateral triangle.
What triangle has 2 acute angles?
In Euclidean geometry a right angle triangle has two acute angles. All others have three.
What is the sumof the measure of the three anglesin a triangle?
The sum of the three angles in any triangle is 180 degrees. In plane Euclidean geometry
A triangle with two acute angles must be a right angle?
No. The three angles in a triangle, in plane Euclidean geometry, must add to 180 degrees. Acute angles are less than 90 degrees. Therefore you may have a triangle with three angles which are 60 degrees for instance.
Which basic shape has 3 sides and 3 corners?
The basic shape with 3 sides and 3 corners is called a triangle. A triangle is a polygon with three straight sides and three angles. It is the simplest polygon in Euclidean geometry.
Does a right triangle have three right angles?
Not in traditional, 2 dimensional, euclidean geometry, because a triangles angles always equal 180º .However, there is a branch of Geometry that deals with a coordinate system on a sphere, instead of a plane, and in spherical geometry a triangle with three right angles is very much possible. Consider, for example, the triangle bounded by the Prime Meridian, 90o west longitude, and the equator.
Can an equilateral triangle be a right triangle?
No. Remember that an equilateral triangle is also equiangular, and all angles must add up 180 degrees. Since there are three angles in a triangle each angle must equal 60 degrees, because 60 is 1/3 of 180. (Extra credit answer: not in Euclidean geometry. In other geometries, it may be possible; for example, in spherical geometry it's possible for a triangle to have three right angles.)
Can a right triangle can be an equilateral triangle?
Short Answer: no Long Answer: Most people consider Euclidean Geometry when taking about standard shapes such as triangles and squares. In Euclidean Geometry: all equilateral triangles have angles of 60°. Therefore an equilateral triangle doesn't have a right angle. However, in Non-Euclidean Geometry (Elliptic Geometry) a triangle can have all angles at 90°. Consider going for a walk at the North Pole. Start going South (all directions are South), then turn at a right angle (90°) to go East, then turn again at a right angle (90°) to go North and you would end up at your starting point (assuming the distance travelled in each direction is the same). The 'triangle' you made would have 3 right angles!!
Different types of geometry?
Euclidean geometry, non euclidean geometry. Plane geometry. Three dimensional geometry to name but a few
Does a pentagon have 5 right angles or 3?
Pentagons in normal (Euclidean) geometry can have at most three right angles, and the other two will be obtuse.However, in hyperbolic geometry, it is possible to construct a pentagon with 5 right angles, which is called a rectapentagon.
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).
In spherical geometry which indicates the possible number of right angles a triangle may have?
All three interior angles of a spherical triangle may be right angles.
When do the angles in a triangle not 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 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.
