Place the angle \(\theta\) in standard position and choose a point \(P\) with coordinates \((x,y)\) on the terminal side. The triangles above have one angle greater than 90° Hence, they are called obtuse-angled triangle or simply obtuse triangle.. An obtuse-angled triangle can be scalene or isosceles, but never equilateral. An acute angle can have all of the following measures except. It's impossible for a triangle to have more than one obtuse angle. Non-examples of obtuse triangles: Special facts about obtuse triangle: An equilateral triangle can never be obtuse. 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. Examples. An acute triangle (or acute-angled triangle) is a triangle with three acute angles (less than 90°). Here Between means we should not consider 90 and 180 degrees. When botanists and zoologists say that something is obtuse, they mean that it is not sharp or pointed. An obtuse triangle is a type of triangle where one of the vertex angles is greater than 90°. Whenever a triangle is classified as obtuse, one of its interior angles has a measure between 90° and 180°. A triangle cannot be right-angled and obtuse angled at the same time. Obtuse Angles. 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. ∠QPR must be. Since an equilateral triangle has equal sides and angles, each angle measures 60°, which is acute. Since a triangle's angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle.. An obtuse angle has measure between \(90\degree\) and \(180\degree\text{. Obtuse comes from a Latin word meaning “blunt, dull, stupid.” “Obtuse angles” in geometry are not stupid; they are blunt. Therefore, an equilateral angle can never be obtuse-angled. acute ∠MPR is an acute angle and line PQ is in the interior of ∠MPR. always. Let us consider the below example, It is also called an obtuse angled triangle. Hence, the triangle can be called an obtuse triangle. never. An angle “greater than 90 degrees and less than 180 degrees” is an obtuse angle. Triangle ABC above is classified as an obtuse triangle since angle A is between 90° and 180°. The definition of obtuse angles is “The angles between 90 degrees to 180 degrees are called as obtuse angles”. It is not possible for a triangle to have more than one obtuse angle. Obtuse triangle. Except these two angles, any angle which is between them is called as obtuse. In an obtuse triangle, one interior angle is an obtuse angle and remaining two interior angles are acute angles. Construction. Because all the angles in a triangle add up to 180°, the other two angles have to be acute (less than 90°). 0. 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