What is the meaning of obtuse triangle?

What is the meaning of obtuse triangle?

An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. Hence, if one angle of the triangle is obtuse, then the other two angles with always be acute.

What is obtuse shape?

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 the properties 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.

Does law of sines work for obtuse triangles?

An explanation of the law of sines is fairly easy to follow, but in some cases we’ll have to consider sines of obtuse angles. There, angle ABC is obtuse. But the sine of an obtuse angle is the same as the sine of its supplement. That means sin ABC is the same as sin ABD, that is, they both equal h/c.

Is sine law only for right triangles?

The Sine Rule can be used in any triangle (not just right-angled triangles) where a side and its opposite angle are known. You will only ever need two parts of the Sine Rule formula, not all three. Remember that each fraction in the Sine Rule formula should contain a side and its opposite angle.

How do you know if an angle is obtuse?

Acute angles measure less than 90 degrees. Right angles measure 90 degrees. Obtuse angles measure more than 90 degrees.

What is an example of an obtuse angle?

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. ∠ PQR is an obtuse angle because it’s less than 180° and greater than 90°.

Can a triangle be acute and right?

If any angle becomes 90 degrees or more, it is not an acute triangle. In any triangle, two of the interior angles are always acute (less than 90 degrees)*, so there are three possibilities for the third angle: Less than 90° – all three angles are acute and so the triangle is acute. Exactly 90° – it is a right triangle.

What degrees is a acute triangle?

Acute triangles have NO angles greater than or equal to 90 degrees — all their angles are less than 90 degrees.

What does a right obtuse triangle look like?

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°. In acute triangles, all the angles are less than 90°.