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In spherical geometry which indicates the possible number of right angles a triangle may have?
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∙ 14y ago
All three interior angles of a spherical triangle may be right angles.
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∙ 14y ago
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What do you call a triangle with two obtuse sides?
In normal geometry, it's not possible to make a triangle with two obtuse angles. It is possible to make a triangle with two obtuse angles in spherical geometry -- it's a kind of "spherical triangle". It is possible to make a triangle with two obtuse angles in some kinds of non-Euclidean geometry -- it's a kind of "non-Euclidean triangle".
Could triangles have right angles?
Yes, although a triangle (in normal geometry) can only have one right angle, no more. It is possible for a triangle to have all three right angles in spherical geometry (if you were to draw the triangle on a sphere).
How do you solve for a spherical triangle?
If by sperical triangle you mean a triangle on the surface of a sphere, you will need 3 dimensional coordinate geometry. Whether you use polar coordinates or linear coordinates will depend on what you want to "solve".
In spherical geometry the measures of the angles in a triangle add up to 180 degrees?
The sum of angles in a triangle in a spherical geometry is greater than 180° the sum is greater the larger the surface area of the triangle.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).
Does an isosceles triangle have two obtuse angles?
No. It is not possible in Euclidean planar geometry (if you don't know what that means, it means "the only kind of geometry you've ever heard of") for a triangle to have two obtuse angles.
What do you call a triangle with two obtuse sides?
In normal geometry, it's not possible to make a triangle with two obtuse angles. It is possible to make a triangle with two obtuse angles in spherical geometry -- it's a kind of "spherical triangle". It is possible to make a triangle with two obtuse angles in some kinds of non-Euclidean geometry -- it's a kind of "non-Euclidean triangle".
Could triangles have right angles?
Yes, although a triangle (in normal geometry) can only have one right angle, no more. It is possible for a triangle to have all three right angles in spherical geometry (if you were to draw the triangle on a sphere).
Is a triangle still a triangle if it has 2 obtuse angles?
In spherical trigonometry this is possible
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.
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.)
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.
What is the meaning of spherical triangle?
Spherical trigonometry is a branch of spherical geometry, which deals with polygons (especially triangles) on the sphere and the relationships between the sides and the angles. This is of great importance for calculations in astronomy and earth-surface and orbital and space navigation.
How do you solve for a spherical triangle?
If by sperical triangle you mean a triangle on the surface of a sphere, you will need 3 dimensional coordinate geometry. Whether you use polar coordinates or linear coordinates will depend on what you want to "solve".
Can a triangle can have two parellel sides?
A Plane triangle cannot have parallel sides. A triangle on a sphere, represented in Mercator projection may do so, but that still does not make it so, for that is in spherical geometry. And there are other geometries than Euclidean (plane). Hyperbolic Geometry and Elliptic Geometry are the names of another two. These geometries are consistent within themselves, but some of the theorems in Euclidean geometry have different answers in these alternate geometries.
What is right triangle geometry?
A right triangle in geometry is a triangle that has 90 degrees as one of its angles.
In spherical geometry the measures of the angles in a triangle add up to ... 180 degrees?
The sum of angles in a triangle in a spherical geometry is greater than 180° the sum is greater the larger the surface area of the triangle.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).
In spherical geometry the measures of the angles in a triangle add up to 180 degrees?
The sum of angles in a triangle in a spherical geometry is greater than 180° the sum is greater the larger the surface area of the triangle.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).
