Can a triangle have more than one obtuse angle?

Can a triangle have more than one obtuse angle?

An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles. Since a triangle’s angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle.

Is it possible for a triangle to have two obtuse angles explain?

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 many angles in a triangle can be obtuse?

one obtuse angle
No, a triangle cannot have more than one obtuse angle as angle > 90° + angle > 90° = angle >180°. Because the sum of the angles of a triangle in Euclidean geometry must be 180°, no Euclidean triangle can have more than one obtuse angle.

Why does an obtuse triangle only have one obtuse angle?

Two obtuse angles by definition mean that there would be two angles of (at least) 91 degrees each. Therefore, a triangle can never have more than one obtuse angle. When an angle of a triangle is 90 degrees, the triangle cannot have an obtuse angle.

Can a triangle only have one obtuse or right angle?

No, a triangle cannot have an obtuse and a right angle.

Why can’t an obtuse triangle have more than one obtuse angle?

Can a triangle have one obtuse and right angle?

Which triangle do not have an obtuse angle?

equilateral triangle
An equilateral triangle can never be obtuse. 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.

Why can’t a triangle be obtuse and right?

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.

Why cant a right triangle have a obtuse angle?

Can a triangle have more than one right angle?

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.

Can a triangle be both acute and equilateral?

Any triangle in which the Euler line is parallel to one side is an acute triangle. Acute triangles can be isosceles, equilateral , or scalene. The longest side of an acute triangle is opposite the largest angle. In an acute triangle, the following is true for the length of the sides:

What is the formula for a triangle?

A triangle is one of the most basic shapes in geometry. The best known and the simplest formula, which almost everybody remembers from school is: area = 0.5 * b * h, where b is the length of the base of the triangle, and h is the height/altitude of the triangle.

What are the angles of a triangle?

The triangle is a two-dimensional shape with three inside angles. These inside angles are said to be interior angles of the triangle and it will sum up to 180 degrees. These inside angles are classified into three types: Angle 1+angle 2+ angles 3= 180 degrees.

How many angles does a triangle have?

Every triangle has three sides and three angles, some of which may be the same. The sides of a triangle are given special names in the case of a right triangle, with the side opposite the right angle being termed the hypotenuse and the other two sides being known as the legs. All triangles are convex and bicentric.