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One example of an oblique spherical triangle is obtained by choosing any two points on the surface of the earth, perhaps two cities. (The earth is assumed to be a perfect sphere.) Now connect these two points with the shortest path possible on the surface of the earth. On a plane, the shortest path is a straight line, but a straight line connecting our two cities would pass below the surface of the earth. Instead, pass a plane through the center of the earth and the two cities. The intersection of this plane with the sphere is a great circle. (If you have a globe, stretch a string taught while it touches both cities, and the string will follow the great circle.) There are actually two ways to connect the cities... the "short" way and the "long" way. (The "long" way goes almost completely around the earth if the cities are close together.) Choose either one. Now, connect city one to the north pole with another great circle. This great circle is a meridian line (a line with the same longitude at all points). Again, you can choose the short or the long way around. (Note, if you choose the long way around, then the longitude of the line shifts abruptly at the south pole by 180 degrees.) Also connect city two to the north pole with a great circle. And you are done.
The three lines you have chosen, make a spherical triangle.
Why bother to make this triangle? One practical application is to use spherical trig with this spherical triangle. Given the latitude and longitude of the two points, one can easily compute the distance (along the surface of the earth) between the two cities.
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What are the solutions to an oblique spherical triangle?
The solutions do depend on what the questions are!
Which triangle do not have a right angle?
An oblique triangle has no right angle.
Which set of points does not determine a spherical triangle?
Three non-collinear points do not determine a unique spherical triangle.
Difference of plane and spherical triangles?
A plane triangle looks like a common triangle. A plane triangle is solved with linear units. A spherical triangle is found inside of a sphere. This type of triangle is solved with angular units.
Worded problems using solutions of oblique triangle?
asdasdas
What are the solutions to an oblique spherical triangle?
The solutions do depend on what the questions are!
How do you solve for the parts of oblique spherical triangle?
The answer will depend on what PARTS! Also, you will not be able to go very far without a good understanding of spherical geometry.
Are there oblique lines in a triangle?
Yes, there can be oblique lines in a triangle. However, there can only be oblique lines in a triangle if the triangle is considered to be a 'right' triangle.
Can an oblique triangle be a right triangle?
No.The definition of an oblique triangle is "any triangle that is not a right triangle".
What is the difference between oblique and a oblique triangle?
One's a triangle.
Which triangle do not have a right angle?
An oblique triangle has no right angle.
Difference between oblique and acute triangles?
An oblique triangle is any triangle that is not a right triangle. An oblique triangle could be either obtuse (having one side greater than 90 degrees) or acute. An acute triangle is one with all three angles less than 90 degrees. It cannot be obtuse, or right.
Which set of points does not determine a spherical triangle?
Three non-collinear points do not determine a unique spherical triangle.
Difference of plane and spherical triangles?
A plane triangle looks like a common triangle. A plane triangle is solved with linear units. A spherical triangle is found inside of a sphere. This type of triangle is solved with angular units.
Worded problems using solutions of oblique triangle?
asdasdas
Isosceles spherical triangle?
Yes, they do exist.
Is a triangle still a triangle if it has 2 obtuse angles?
In spherical trigonometry this is possible
