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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).
What else can I help you with?
What triangle measures 162 degrees?
An obtuse triangle measures 162 degrees.
Rotating a triangle by 50 will change the measures of the exterior angles by?
Rotating a triangle by 50 degrees will not change the measures of its exterior angles. Exterior angles are defined based on the triangle's geometry and the positions of its vertices, which remain unchanged by rotation. Thus, regardless of the triangle's orientation, the exterior angles will retain their original measures.
How many degrees would a triangle have in hyperbolic geometry?
170 degrees
Did Lobachevsky negation created spherical geometry?
Lobachevsky's work did not create spherical geometry; rather, he is known for developing hyperbolic geometry, which deviates from Euclidean principles. Spherical geometry, on the other hand, is based on the properties of figures on the surface of a sphere and includes concepts such as great circles and the sum of angles in a triangle exceeding 180 degrees. Both geometries are non-Euclidean, but they arise from different fundamental assumptions about space. Lobachevsky's contributions helped to expand the understanding of non-Euclidean geometries, including both hyperbolic and spherical forms.
What type of triangle has that measures 60 degrees and a angle that measures 90 degrees?
It is a right angle triangle providing that the 3rd angle is 30 degrees.
What is right triangle geometry?
A right triangle in geometry is a triangle that has 90 degrees as one of its angles.
What triangle measures 162 degrees?
An obtuse triangle measures 162 degrees.
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).
Rotating a triangle by 50 will change the measures of the exterior angles by?
Rotating a triangle by 50 degrees will not change the measures of its exterior angles. Exterior angles are defined based on the triangle's geometry and the positions of its vertices, which remain unchanged by rotation. Thus, regardless of the triangle's orientation, the exterior angles will retain their original measures.
What type of triangle has an angle that measures 100 degrees and an angle that measures 60 degrees?
Obtuse triangle
What type of triangle has an angle that measures 20 degrees and and angle that measures 90 degrees?
Any triangle that has an angle measuring 90 degrees is a right triangle.
A triangle has one angle that measures 19 degrees one angle that measures 121 degrees and one angle that measures 40 degrees?
right triangle
What shape has three square corners?
A triangle Square An equilateral triangle on a sphere that distends 90 degrees (think of a triangle with one corner at the north pole, one corner on the equator at the 0 meridian, and one corner on the equator at 90 degrees longitude. Each corner of this spherical triangle measures 90 degrees.
What kind of triangle measures go degrees 90 degrees and 30 degrees?
A right angle triangle and the third angle measures 60 degrees
What type of triangle has an angle that measures 45 degrees and an angle that measures 75 degrees?
acute-angled triangle
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.)
How many degrees would a triangle have in hyperbolic geometry?
170 degrees
