}\) In this section we will define the trigonometric ratios of an obtuse angle as follows. Obtuse Angle Definition. In an obtuse triangle, one interior angle is an obtuse angle and remaining two interior angles are acute angles. The definition of obtuse angles is “The angles between 90 degrees to 180 degrees are called as obtuse angles”. An acute triangle (or acute-angled triangle) is a triangle with three acute angles (less than 90°). Triangle ABC above is classified as an obtuse triangle since angle A is between 90° and 180°. Therefore, an equilateral angle can never be obtuse-angled. An obtuse triangle is a type of triangle where one of the vertex angles is greater than 90°. Let us consider the below example, An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles. Since an equilateral triangle has equal sides and angles, each angle measures 60°, which is acute. Obtuse comes from a Latin word meaning “blunt, dull, stupid.” “Obtuse angles” in geometry are not stupid; they are blunt. It's impossible for a triangle to have more than one obtuse angle. An obtuse angle is a kind of an angle in the field of geometry that is made from two rays having the measure of more than 90 degrees but less than 180 degrees. It is not possible for a triangle to have more than one obtuse angle. 0. Place the angle \(\theta\) in standard position and choose a point \(P\) with coordinates \((x,y)\) on the terminal side. Obtuse triangle. ∠QPR must be. Here Between means we should not consider 90 and 180 degrees. acute ∠MPR is an acute angle and line PQ is in the interior of ∠MPR. Perpendicular lines intersect to form four right angles. An obtuse angle measures 180 degrees. Geometrically, an obtuse triangle can be constructed by using geometric tools. The bisector of an obtuse angle forms. Properties of Obtuse Triangles It is also called an obtuse angled triangle. An angle “greater than 90 degrees and less than 180 degrees” is an obtuse angle. Because all the angles in a triangle add up to 180°, the other two angles have to be acute (less than 90°). Whenever a triangle is classified as obtuse, one of its interior angles has a measure between 90° and 180°. Since a triangle's angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle.. When botanists and zoologists say that something is obtuse, they mean that it is not sharp or pointed. In Mathematics, “an obtuse angle is an angle which is greater than 90° and less than 180°â€. An acute angle can have all of the following measures except. An obtuse angle has measure between \(90\degree\) and \(180\degree\text{. A triangle cannot be right-angled and obtuse angled at the same time. always. An obtuse triangle is one that has an angle greater than 90°. Except these two angles, any angle which is between them is called as obtuse. 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