Is it possible for a triangle to have a right angle and an obtuse angle?
No, a triangle cannot have an obtuse and a right angle.
Why can’t a right triangle have an obtuse 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.
Can a triangle have 2 acute angles?
Therefore, a triangle can have two acute angles as the sum of those two angles becomes less than 180∘. The combination for the angles can be two acute angles and one obtuse angle.
Is it possible for a triangle to have two 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°. Thus, it is not possible to have a triangle with 2 right angles.
Can a triangle have 2 obtuse angle?
The answer is “No”. Reason: If a triangle has two obtuse angles, then the sum of all the 3 interior angles will not be equal to 180 degrees.
How do you make a triangle obtuse?
Construction
- Draw a horizontal line segment from point to by a ruler.
- Use protractor and mark a point at an obtuse angle.
- Take a compass and set it to any length by a ruler.
- Finally, join the points and by a line for completing the construction of a triangle geometrically.
Can an obtuse triangle be equilateral?
Since an equilateral triangle has equal sides and angles, each angle measures 60°, which is acute. Therefore, an equilateral angle can never be obtuse-angled. A triangle cannot be right-angled and obtuse angled at the same time.
Is the longest side of a right angled triangle?
hypotenuse
The hypotenuse is always the longest side in a right triangle because it is opposite of the largest angle, the ninety degree angle.
How many altitudes Can a triangle have?
three altitudes
The three altitudes of a triangle intersect at the orthocenter, which for an acute triangle is inside the triangle.
Is it possible for a triangle to have 2 obtuse angles?
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 a right triangle be classified as an acute triangle?
An obtuse triangle and a right triangle will both have acute angles. However, they can not be classified as acute . An acute triangle must have 3 acute angles. Thanks!
Is a right angle also considered obtuse?
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 1 2 turn (180° or π radians) is called a straight angle.
Can right triangle have two acute angles?
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.
Can an equilateral triangle be either acute or obtuse?
An equilateral triangle is always an acute triangle since all its angles are 60° which are acute angles. An obtuse triangle has one obtuse angle (i.e. greater than 90°). The longest side is always opposite the obtuse angle. In the obtuse triangle shown below, a is the obtuse angle.