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# How many sides does the triangle add up to?

Updated: 10/10/2023

Wiki User

14y ago

The three interior angles of a plane triangle add up to 180 degrees, or pi radians.

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)!

On a plane, always 180 degrees. If the sum is not 180° you are not in Euclidean (flat) 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)!

The sum of the internal angles of any triangle is 180 degrees.

Wiki User

12y ago

Wiki User

14y ago

Triangles always have 3 sides. The interior angles add up to 180 degrees.

Wiki User

14y ago

The sum of the interior angles of an obtuse triangle as with all triangles is 180 degrees.

Wiki User

13y ago

180 degrees

Anonymous

Lvl 1
4y ago

180