# Can a triangle be both obtuse and right?

## Can a triangle be both obtuse and right?

Obtuse and Right Angles: A right angle is an angle that has a measure equal to 90°. Being familiar with the definitions of these types of angles can help us to solve problems and applications involving them.

### Can a right triangle have an obtuse angles yes or no?

Since a triangle’s angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle. Acute and obtuse triangles are the two different types of oblique triangles — triangles that are not right triangles because they have no 90° angle.

#### Can right angles have obtuse angles?

A right triangle has a right angle, which is 90∘ , which means that the sum of the other two angles is 90∘ . This means that the other two angles cannot be greater than 90∘ .

Can a right triangle have 3 different angles?

45°–45°–90° triangle In plane geometry, constructing the diagonal of a square results in a triangle whose three angles are in the ratio 1 : 1 : 2, adding up to 180° or π radians. Triangles with these angles are the only possible right triangles that are also isosceles triangles in Euclidean geometry.

Can a triangle have two right angles?

There can never be two or more right angles in a triangle. A triangle has three sides, and the interior angles add up to 180 degrees. If a triangle has two right angles, the third angle must be 0 degrees, implying that the third side would overlap the other.

## Does a triangle can have two obtuse angle?

Obtuse angle is an angle which has magnitude more than 90∘ . So adding that two angles only we will get 180∘ or more than that. Hence, this contradicts the property of the triangle that the sum of three angles should be 180∘ . Therefore we conclude that a triangle can only have one obtuse angle and not more than that.

### Why can’t a triangle have two obtuse angles?

No, because the sum of three angles of a triangle is 180 degree & sum of any two obtuse angles is always more than 180 degree. So, it can not be possible that a triangle have two obtuse angles.

#### Can a triangle be right and obtuse at the same time?

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.

How many acute and right angles are in a triangle?

How many acute obtuse and right angles are in a triangle? right angles (exactly 90°) obtuse angles (more than 90°, less than acute angles (less than 90°) Right triangles have exactly one right a Obtuse triangles have exactly one obtuse Acute triangles have three acute angles.

What’s the difference between an acute and an obtuse angle?

Angles between 0 and 90 degrees (0°< θ <90°) are called acute angles. Angles between 90 and 180 degrees (90°< θ <180°) are known as obtuse angles. Angles that are 360 degrees (θ = 360°) are full turn.

## What does the word obtuse mean In geometry?

Obtuse comes from a Latin word meaning “blunt, dull, stupid.” “Obtuse angles” in geometry are not stupid; they are blunt. An angle “greater than 90 degrees and less than 180 degrees” is an obtuse angle. When applied to a person, obtuse means stupid, lacking in perception or understanding.