Which angles could form an obtuse triangle?

Which angles could form an obtuse triangle?

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.

What are 3 characteristics of an obtuse triangle?

Obtuse Angled Triangle Properties The sum of the two angles other than the obtuse angle is less than 90 degrees. The side opposite to the obtuse angle is the longest side of the triangle. An obtuse triangle will have one and only one obtuse angle. The other two angles are acute angles.

Can all angles of a triangle be obtuse?

An obtuse triangle is one that has an angle greater than 90°. Because all the angles in a triangle add up to 180°, the other two angles have to be acute (less than 90°). It’s impossible for a triangle to have more than one obtuse angle.

How do you find the angle of an obtuse angle?

To calculate the angle of an obtuse triangle, you need to square the lengths of the two sides of the triangle that will intersect to make the obtuse angle and add the squares of them. For example – if the two sides of the triangle are 2 and 4, then squaring them will give 4 and 16.

What is obtuse angle give example?

An obtuse angle is a type of angle whose degree measurement is more than 90° but less than 180°. Examples of obtuse angles are: 100°, 120°, 140°, 160°, 170°, etc.

Can a triangle have 2 obtuse angles Why?

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.

Which of the following angles is obtuse?

Examples of Obtuse Angles We know that angles measuring greater than 90° and less than 180° are called obtuse angles. Therefore, angles that measure 145°,150°,178°,149°, 91° are considered as obtuse angle examples.

What does an obtuse triangle look like?

An obtuse triangle may be either isosceles (two equal sides and two equal angles) or scalene (no equal sides or angles). An obtuse triangle has only one inscribed square. One of the sides of this square coincides with a part of the longest side of the triangle.

What is true about all obtuse triangles?

Obtuse Triangle Definition. An obtuse triangle is one that has an angle greater than 90°. Because all the angles in a triangle add up to 180°, the other two angles have to be acute (less than 90°). It’s impossible for a triangle to have more than one obtuse angle.

Can you draw an obtuse equilateral triangle?

It is not possible to draw a triangle that is both obtuse and equilateral. Due to the angle being greater than 90-degrees, it is not possible to draw an obtuse triangle that is also an equilateral triangle. Although, it is possible to draw a triangle that is both obtuse and isosceles. Rate!

What is the formula for an acute triangle?

Acute Angle Formulas. In an acute triangle, the following is true for the length of the sides: a 2 + b 2 > c 2, b 2 + c 2 > a 2, c 2 + a 2 > b 2. If C is the greatest angle and h c is the altitude from vertex C, then the following relation for altitude is true for an acute triangle: