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Why is the sum of the angles of spherical triangles always larger than the sum of the angles of plane triangles?
Wiki User
∙ 12y ago
Because, to allow for the curvature of the spherical surface, each angle must be slightly larger than its plane-surface equivalent.
Wiki User
∙ 12y ago
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Triangle in which all of the angles are acute angles?
They are possible - unlike plane triangles in which all of the angles are right angles, obtuse or larger.
Do triangles have at least one right angle?
Triangles can be classified by their sides or their angles. When classifying them by their angles, triangles are called: acute triangles - all three angles are acute (less than 90º) right triangles - one right angle (90º) and two acute angles obtuse triangles - one obtuse angle (larger than 90º) and two acute angles
Is it always true that a triangle has three acute angles?
No, but there is one rule that you can always follow for triangles, and that is all the angles in a triangle add up to 180 degrees --- So an angle can be larger than 90 degrees as long as all three angles add up to 180 degrees..
Are isosceles triangles always acute triangles?
No. The two sides that are acute can form and angle that could be larger than or equal to 90 degrees.
What kind of triangles are there?
There are many kind of triangles. These are the following: Acute, Right, and Obtuse are actual angles. Scalene, Isosceles, and Equilateral are all actual triangles. But, you can have any triangle with any angle. Like a scalene triangle with a Right angle, or an Isosceles triangle with an Obtuse angle.Acute is a triangle with an angle less than 90 degrees. So it is smaller than a Right triangle. To make and Acute triangle, you need at least two Acute angles.Right triangle have at least on right angle. Right angles are angles that re exactly 90 degrees. If you put a cube right where the angle went, both sides would be perfectly straight.Obtuse triangles are triangles with at least one Obtuse angles. They are always bigger than 90 degrees. They are larger than a Right triangle. If you spread your legs apart, you would have an Obtuse angle.Scalene triangles are triangles with all of the sides different lengths. Each side is either longer or shorter, they are never the same.Isosceles triangles are triangles with two sides the same lengths. The other side is either longer or shorter.Equilateral triangles are triangles with ever side the same exact length. They all are exactly the same. If one is different, it's not an Equilateral triangle.
What geometric figures do not have any right angles or angles whose measures are larger than a right angle?
All triangles that are not right triangles.
Triangle in which all of the angles are acute angles?
They are possible - unlike plane triangles in which all of the angles are right angles, obtuse or larger.
Do triangles have at least one right angle?
Triangles can be classified by their sides or their angles. When classifying them by their angles, triangles are called: acute triangles - all three angles are acute (less than 90º) right triangles - one right angle (90º) and two acute angles obtuse triangles - one obtuse angle (larger than 90º) and two acute angles
Is it always true that a triangle has three acute angles?
No, but there is one rule that you can always follow for triangles, and that is all the angles in a triangle add up to 180 degrees --- So an angle can be larger than 90 degrees as long as all three angles add up to 180 degrees..
Why are the two triangles congruent?
They may not be. Depends on the triangles! All the angles and sides have to be the same to be congruent. They would be identical. The same angles but proportionally larger or smaller side lengths = similar.
Are isosceles triangles always acute triangles?
No. The two sides that are acute can form and angle that could be larger than or equal to 90 degrees.
What kind of triangles are there?
There are many kind of triangles. These are the following: Acute, Right, and Obtuse are actual angles. Scalene, Isosceles, and Equilateral are all actual triangles. But, you can have any triangle with any angle. Like a scalene triangle with a Right angle, or an Isosceles triangle with an Obtuse angle.Acute is a triangle with an angle less than 90 degrees. So it is smaller than a Right triangle. To make and Acute triangle, you need at least two Acute angles.Right triangle have at least on right angle. Right angles are angles that re exactly 90 degrees. If you put a cube right where the angle went, both sides would be perfectly straight.Obtuse triangles are triangles with at least one Obtuse angles. They are always bigger than 90 degrees. They are larger than a Right triangle. If you spread your legs apart, you would have an Obtuse angle.Scalene triangles are triangles with all of the sides different lengths. Each side is either longer or shorter, they are never the same.Isosceles triangles are triangles with two sides the same lengths. The other side is either longer or shorter.Equilateral triangles are triangles with ever side the same exact length. They all are exactly the same. If one is different, it's not an Equilateral triangle.
How many angles are larger than a right angle?
2, obtuse and reflex angles are larger than right angles A straight angle is larger.
What are Thomas Hariot's mathematical discoveries?
He created a mathematical formula for drawing lines of latitude on a chart so that a route with constant compass bearing would be a straight line on the map. "The sum of the angles of a spherical triangle is always larger than two right angles. The amount E by which it exceeds 180° is called the spherical excess. The 16th-century French mathematician Albert Girard showed that this excess determines the surface area of the triangle: the radius squared by the excess gives the area (in symbols, A=R²E)." Resource Link: Unfortunately, I cannot add the link.
How do you make a squair with three triangles?
You can make a square with 3 right angle triangles The smaller triangles will be halve the size of the larger triangle
What is the shape of dense bodies the size of planets or larger?
Approximately "spherical".
What is the shape of dense body is the size of planets or larger?
Approximately "spherical".
