- #1
prinsinn
- 10
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Do you know any good example (or proof) that shows that the sum of two sides is alwasys bigger than the third side in a spherical triangle.
A spherical triangle is a triangle drawn on the surface of a sphere. It is formed by three arcs of great circles, which are the largest circles that can be drawn on a sphere.
The sum of the angles in a spherical triangle is always greater than 180 degrees, and can vary depending on the size and shape of the triangle. However, the sum will always be less than 540 degrees.
This is due to the fact that a spherical triangle is formed by three arcs of great circles, which are the shortest distance between two points on a sphere. The shortest distance between two points on a sphere is always along a great circle, making the sum of the two sides longer than the third side.
No, the rule only applies to spherical triangles. In a flat surface, the sum of the two sides can be equal to, or even smaller than, the third side.
The sum of two sides in a spherical triangle is always greater than the third side, but the exact relationship can vary based on the size and shape of the triangle. In general, the larger the triangle, the greater the difference between the sum of the two sides and the third side.