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In hyperbolic geometry which of the following could be the sum of the angle measures in a triangle?
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∙ 11y ago
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∙ 11y ago
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How many degrees would a triangle have in hyperbolic geometry?
170 degrees
Is the sum of the measures of the angles of a triangle always 180?
Yes - in the case of triangles in Euclidian geometry. That is, basically triangles in a plane.
What if the angles of a triangle don't add up to 180 degrees?
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 geometry, if the sum is less than 180° it is a hyperbolic space.It must add up to 180 degrees. If not, then it either isn't a triangle, or it is a triangle on some non-planar surface (e.g. a triangle formed by taking three points on a globe).
The sum of the measures of the angles of a triangle greater than 180 degrees?
It is not possible in plane Euclidean geometry, but always true on a convex curved surface such as the face of the Earth.
What triangle measures 162 degrees?
An obtuse triangle measures 162 degrees.
In hyperbolic geometry a triangle could potentially have how many degrees?
170
How many degrees would a triangle have in hyperbolic geometry?
170 degrees
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.
which is the inverse of the following conditionalAll scalene triangles have three angles with distinct measures.?
If a triangle is not scalene, then the triangle does not have three angles with distinct measures.
Which of the following could be the side measures of a right triangle?
There are no numbers on that list that could be the sides of a right triangle. Oh, all right. The following is the answer:
Is the sum of the measures of the angles of a triangle always 180?
Yes - in the case of triangles in Euclidian geometry. That is, basically triangles in a plane.
What is right triangle geometry?
A right triangle in geometry is a triangle that has 90 degrees as one of its angles.
Prove that the sum of angles of a triangle is equal to 180 degress?
The proof is pretty simple, but hard to see without the pictures. SO here is a link to the proof with some pics. http://www.apronus.com/geometry/triangle.htm The answer depends on your geometry: In Euclidean geometry, the angle sum is 180 degrees, in Hyperbolic geometry it is less than 180 degrees, and in Elliptical geometry it is greater than 180 degrees.
which figure is a counterexample to the following conditional statementIf a triangle has an angle that measures 60°, then it is equilateral.?
A+
Where does the altitude of a triangle intersect geometry?
The altitude of a triangle IS a geometric concept so it intersects geometry in its very existence.
What if the angles of a triangle don't add up to 180 degrees?
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 geometry, if the sum is less than 180° it is a hyperbolic space.It must add up to 180 degrees. If not, then it either isn't a triangle, or it is a triangle on some non-planar surface (e.g. a triangle formed by taking three points on a globe).
Which of the following can represent the measures of the three angles in an acute triangle?
The acute triangle will have 3 different acute angle that add up to 180 degrees
