Please send us an email to domain@kv-gmbh.de or call us: +49 541 76012653.

### 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...

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.

Keywords: Angle Sides Measurement Degrees Triangle Acute Obtuse Geometry Criteria Classification

### 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 angl...

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.

### 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...

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.

Keywords: Triangle Obtuse Acute Angled Measurement Angles Geometric Calculation Theorem Inequality

### 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 a...

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.

Keywords: Triangle Obtuse Right-angled Acute Angle Measurement Classification Geometry Trigonometry Calculation

### 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...

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).

Keywords: Geometry Theorem Pythagoras Hypotenuse Acute Trigonometry Sides Angles Sum Right

### 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 d...

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.

Keywords: Acute Pythagoras Theorem Geometry Hypotenuse Inequality Trigonometry Angles Triangles Proof

### 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...

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.

Keywords: Pythagoras Theorem Geometry Angles Hypotenuse Trigonometry Converse Inequality Euclidean Proof

### 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...

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.

### What is the formula for calculating the area of an obtuse triangle?

The formula for calculating the area of an obtuse triangle is the same as for any other triangle, which is 1/2 * base * height. Ho...

The formula for calculating the area of an obtuse triangle is the same as for any other triangle, which is 1/2 * base * height. However, in the case of an obtuse triangle, the height is drawn outside the triangle, perpendicular to the base. If the base and height are known, you can plug these values into the formula to find the area of the obtuse triangle.

Keywords: Formula Area Obtuse Triangle Calculating Geometry Math Angles Base Height

### What does an obtuse-angled triangle with a symmetry axis look like?

An obtuse-angled triangle with a symmetry axis would have one angle greater than 90 degrees and two smaller angles. The symmetry a...

An obtuse-angled triangle with a symmetry axis would have one angle greater than 90 degrees and two smaller angles. The symmetry axis would be a line passing through the midpoint of the longest side and perpendicular to it, dividing the triangle into two equal halves. This means that the triangle would be symmetrical with respect to this axis, so if you were to fold the triangle along the axis, the two halves would perfectly overlap.

### What is the formula for calculating the area of an obtuse-angled triangle?

The formula for calculating the area of an obtuse-angled triangle is the same as for any other triangle, which is 0.5 * base * hei...

The formula for calculating the area of an obtuse-angled triangle is the same as for any other triangle, which is 0.5 * base * height. The base and height are perpendicular to each other, and the height is measured from the base to the vertex opposite the base. If the triangle is obtuse-angled, the height will fall outside the triangle, and the formula still applies.

Keywords: Obtuse Triangle Area Formula Base Height Sine Angle Perpendicular Bisector

### How many obtuse interior angles can there be in a pentagon at most?

In a pentagon, there can be at most two obtuse interior angles. This is because the sum of the interior angles in a pentagon is al...

In a pentagon, there can be at most two obtuse interior angles. This is because the sum of the interior angles in a pentagon is always 540 degrees, and if more than two angles were obtuse, the sum of all the angles would exceed 540 degrees. Therefore, the maximum number of obtuse angles in a pentagon is limited to two.

Keywords: Five Pentagon Interior Angles Obtuse Maximum Number Geometry Sum Theorem

* All prices are inclusive of the statutory value added tax and, if applicable, plus shipping costs. The offer information is based on the information provided by the respective shop and is updated by automated processes. A real-time update does not take place, so that there may be deviations in individual cases.