Can a triangle have both an acute angle and a right angle?

Explanation: A right triangle can, and must, have exactly two acute angles. As a right triangle has one angle equal to 90∘ , this means the sum of the remaining two angles must be 180∘−90∘=90∘ . Thus, both of the remaining two angles must have a measure less than 90∘ and therefore must be acute.

Why is it that a triangle Cannot have an obtuse acute and a right exterior angle?

When an angle of a triangle is 90 degrees, the triangle cannot have an obtuse angle. The other two must each be less than 90 degrees (90 deg + 89 deg + 1 deg = 180 deg). It therefore follows that they must both be less than 90 degrees and so must both be acute.

What is an obtuse right triangle?

A right triangle has one angle that’s 90° and a corner that looks like an L. Obtuse triangles have one angle that’s greater than 90°.

What is acute right and obtuse triangle?

An acute triangle has three angles that each measure less than 90 degrees. Obtuse Triangle. An obtuse triangle is a triangle with one angle that is greater than 90 degrees. Right Triangle. A right triangle is a triangle with one 90 degree angle.

Can a right triangle have a 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.

Can a triangle have two obtuse angles?

We have the property that the sum of the angles of a triangle is always 180∘ . 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 having two angle obtuse, construction of a triangle is not at all possible.

Is a right triangle have an obtuse angle?

A right triangle can have no obtuse angles. All the triangles follow the angle sum property and this property ensures that for any triangle, the…

Can a obtuse angle have a right angle?

Therefore, an obtuse-angled triangle can never have a right angle; and vice versa.

What is obtuse acute and right angle triangle?

Is acute obtuse right triangle?

An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles. Acute and obtuse triangles are the two different types of oblique triangles — triangles that are not right triangles because they have no 90° angle.

What is the obtuse angle of a triangle?

If the triangle is on an Euclidean plane, then all angles must add up to 180 degrees so the obtuse angle+ the acute angle must be equal some angle larger than 90 degrees because an obtuse angle must be between 90 and 180 (exclusive of 90 and 180). Since a right angle is always 90 degrees, so they will add up to some angle larger than 180 degrees.

What is the difference between a right triangle and oblique triangle?

A right triangle has a 90° angle, while an oblique triangle has no 90° angle. Oblique triangles are broken into two types: acute triangles and obtuse triangles.

What are the characteristics of an acute triangle?

1 All equilateral triangles are acute triangles. 2 An acute triangle has three inscribed squares. 3 Any triangle in which the Euler line is parallel to one side is an acute triangle. 4 Acute triangles can be isosceles, equilateral, or scalene. 5 The longest side of an acute triangle is opposite the largest angle.

What is the difference between normal orthogonal and obtuse angles?

Two lines that form a right angle are said to be normal, orthogonal, or perpendicular. Angles larger than a right angle and smaller than a straight angle (between 90° and 180°) are called obtuse angles (“obtuse” meaning “blunt”). An angle equal to 12 turn (180° or π radians) is called a straight angle.