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When is it an obtuse triangle?
An obtuse triangle is a triangle in which one of the angles measures more than 90 degrees. In other words, an obtuse triangle has one angle that is greater than 90 degrees and the other two angles are acute, meaning they are less than 90 degrees. This type of triangle is characterized by having one "obtuse" angle, which is wider than a right angle but less than a straight angle. **
Is this triangle obtuse or acute-angled?
This triangle is acute-angled. An acute-angled triangle is a triangle in which all three angles are less than 90 degrees. In this case, all three angles of the triangle are less than 90 degrees, making it an acute-angled triangle. **
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When is the angle acute or obtuse?
An angle is acute when it measures less than 90 degrees, meaning that it is smaller than a right angle. On the other hand, an angle is obtuse when it measures more than 90 degrees but less than 180 degrees, meaning that it is larger than a right angle. In both cases, the angle is formed by two rays that share a common endpoint, known as the vertex. **
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Is the triangle obtuse, right-angled, or acute?
To determine if a triangle is obtuse, right-angled, or acute, we need to look at the measures of its angles. If all three angles are less than 90 degrees, the triangle is acute. If one angle is exactly 90 degrees, the triangle is right-angled. If one angle is greater than 90 degrees, the triangle is obtuse. **
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Why can a right triangle not have obtuse angles?
A right triangle by definition has one angle that measures 90 degrees. Since the sum of the angles in any triangle is always 180 degrees, the other two angles in a right triangle must add up to 90 degrees. Therefore, it is not possible for a right triangle to have an obtuse angle (an angle greater than 90 degrees) because the other two angles would not be able to make up the remaining 90 degrees needed to complete the triangle. **
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Why can't a right-angled triangle have obtuse angles?
A right-angled triangle by definition has one angle that measures 90 degrees. An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees. Therefore, it is not possible for a right-angled triangle to have an obtuse angle because the right angle already accounts for 90 degrees, leaving the other two angles to be acute (less than 90 degrees). **
Why can a right-angled triangle not have obtuse angles?
A right-angled triangle by definition has one angle that measures 90 degrees. An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees. Therefore, it is not possible for a right-angled triangle to have an obtuse angle because the right angle already accounts for 90 degrees, leaving the other two angles to add up to 90 degrees as well. **
Why can a triangle have at most only one obtuse angle?
A triangle can have at most only one obtuse angle because the sum of the interior angles of a triangle is always 180 degrees. If a triangle had more than one obtuse angle, the sum of the interior angles would exceed 180 degrees, which is not possible in Euclidean geometry. Therefore, a triangle can have at most only one obtuse angle, while the other two angles must be acute. **
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When is it an obtuse triangle?
An obtuse triangle is a triangle in which one of the angles measures more than 90 degrees. In other words, an obtuse triangle has one angle that is greater than 90 degrees and the other two angles are acute, meaning they are less than 90 degrees. This type of triangle is characterized by having one "obtuse" angle, which is wider than a right angle but less than a straight angle. **
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Is this triangle obtuse or acute-angled?
This triangle is acute-angled. An acute-angled triangle is a triangle in which all three angles are less than 90 degrees. In this case, all three angles of the triangle are less than 90 degrees, making it an acute-angled triangle. **
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When is the angle acute or obtuse?
An angle is acute when it measures less than 90 degrees, meaning that it is smaller than a right angle. On the other hand, an angle is obtuse when it measures more than 90 degrees but less than 180 degrees, meaning that it is larger than a right angle. In both cases, the angle is formed by two rays that share a common endpoint, known as the vertex. **
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Is the triangle obtuse, right-angled, or acute?
To determine if a triangle is obtuse, right-angled, or acute, we need to look at the measures of its angles. If all three angles are less than 90 degrees, the triangle is acute. If one angle is exactly 90 degrees, the triangle is right-angled. If one angle is greater than 90 degrees, the triangle is obtuse. **
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Why can a right triangle not have obtuse angles?
A right triangle by definition has one angle that measures 90 degrees. Since the sum of the angles in any triangle is always 180 degrees, the other two angles in a right triangle must add up to 90 degrees. Therefore, it is not possible for a right triangle to have an obtuse angle (an angle greater than 90 degrees) because the other two angles would not be able to make up the remaining 90 degrees needed to complete the triangle. **
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Why can't a right-angled triangle have obtuse angles?
A right-angled triangle by definition has one angle that measures 90 degrees. An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees. Therefore, it is not possible for a right-angled triangle to have an obtuse angle because the right angle already accounts for 90 degrees, leaving the other two angles to be acute (less than 90 degrees). **
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Why can a right-angled triangle not have obtuse angles?
A right-angled triangle by definition has one angle that measures 90 degrees. An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees. Therefore, it is not possible for a right-angled triangle to have an obtuse angle because the right angle already accounts for 90 degrees, leaving the other two angles to add up to 90 degrees as well. **
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Why can a triangle have at most only one obtuse angle?
A triangle can have at most only one obtuse angle because the sum of the interior angles of a triangle is always 180 degrees. If a triangle had more than one obtuse angle, the sum of the interior angles would exceed 180 degrees, which is not possible in Euclidean geometry. Therefore, a triangle can have at most only one obtuse angle, while the other two angles must be acute. **
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