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.
The sides of a triangle add up to the perimeter.
The sides don't add up to anything but the angles should add up to 180 degree to form right triangle or any other triangle.
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The sides can add up to any number. The angles, however, always add up to 180o.
An equilateral triangle has 3 equal sides and 3 equal interior angles that add up to 180 degrees
All triangles have 3 sides and 3 inside angles that add up to 180 degrees
A triangle has 3 sides and 3 inside angle that add up to 180 degrees
you add up the measures of the sides Perimeter=a+b+cAdd up the three sides together
No triangle. A triangle must have 3 angles that add up to 180 degrees, and three and only three sides, with no sides parallel.
P = a + b + cyou just add the sides together.Just add up the three sides of the triangle.
All triangles have 3 sides and 3 inside angles that add up to 180 degrees
180