Explanation: A triangle has 180o as the sum of all its internal angles, no more, no less. If one angle is 90o , then you can have two 45o angles, one 30o and a 60o , an 81o and a 9o – pretty much any combination of numbers adding up to 90 to make the total 90+90=180 .
What is the maximum number of right angles a triangle can have in a Euclidean geometry?
triangle have 3 sides. In Euclidean space, there can only be one 90 degree angle in a triangle. In this space the interior angles must sum to 180 degrees.
What is the greatest number of obtuse angles that a right triangle can contain?
The answer is 0.
Can there be a triangle with 2 right angles?
No, a triangle can never have 2 right angles. A triangle has exactly 3 sides and the sum of interior angles sum up to 180°. So, if a triangle has two right angles, the third angle will have to be 0 degrees which means the third side will overlap with the other side.
Can a triangle have more than one right angle True or false?
A triangle cannot have two right angles, in plane geometry. The sum of all three internal angles of a triangle is always 180 degrees. If two angles of a triangle measured 90 degrees each, the third angle would have to measure 0 degrees.
How many 90 degree angles can have a triangle?
Explanation: The sum of the angles in a triangle is 180. A right triangle has one angle of 90. Thus, the sum of the other two angles will be 90.
How many 90 degree angles are in a triangle?
one 90
The right triangle has one 90 degree angle and two acute (< 90 degree) angles. Since the sum of the angles of a triangle is always 180 degrees… The two sides of the triangle that are by the right angle are called the legs… and the side opposite of the right angle is called the hypotenuse.
Why can’t a right triangle have an obtuse angle?
A triangle cannot be right-angled and obtuse angled at the same time. Since a right-angled triangle has one right angle, the other two angles are acute. Therefore, an obtuse-angled triangle can never have a right angle; and vice versa. The side opposite the obtuse angle in the triangle is the longest.
Can a triangle have 1 obtuse angles?
An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles. Since a triangle’s angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle.
Why can’t a triangle have 2 right angles?
In Euclidian (flat) geometry the sum of all angles, in a triangle, by definition, must be equal to 180 degrees. Right angle, again, by definition, is an angle which has 90 degrees. So, we can’t have two right angles in a triangle, only one, because the sum of two other angles must be 90 degrees.
What is the maximum number of right angles you can have in?
The triangle can have at most one interior right angle (the right-angled triangle) and the quadrilateral can have at most four (the rectangle or the square). The maximum number of interior right angles of any convex n-sided polygon (where n ≥ 5) is three. I shall give a proof to include all convex polygons with 5 or more sides in general, thus:
How many angles are there in a triangle?
One. A triangle has 180o as the sum of all its internal angles, no more, no less. If one angle is 90o, then you can have two 45o angles, one 30o and a 60o, an 81o and a 9o – pretty much any combination of numbers adding up to 90 to make the total 90+ 90 = 180.
Which is the largest possible right angle in a polygon?
A right angle is 90 degrees… and the largest possible internal angle in any polygon is a smidge less than 360 degrees. And yes, that would be a spike heading into the figure, and straight back out again.
How many right angles can you have in an octagon?
For a regular octagon (equal sides and angles), all the internal angles must be 1080° / 8 = 135°. If you tried to construct an octagon with right angles, you could “afford” at most 1080° / 90° = 12 of them.
