obtuse triangle
a triangle with one obtuse angle
An obtuse triangle is a triangle that has one angle that measures more than 90 degrees. Specifically, an obtuse triangle has one angle that is greater than 90 degrees and two angles that are less than 90 degrees.
To identify an obtuse triangle, you can measure the angles of the triangle using a protractor or compare the sizes of the angles. If one of the angles is found to be more than 90 degrees, then the triangle is an obtuse triangle.
It’s important to note that the sides opposite the obtuse angle are the longest sides of the triangle. This is because the greater the size of the angle, the longer the side opposite that angle.
In geometry, the Law of Cosines is often used to solve for the missing side or angle of an obtuse triangle. This formula is particularly useful when given two sides and the angle opposite one of the sides, or when given all three sides of the triangle.
Overall, understanding the properties and characteristics of an obtuse triangle can help in solving geometry problems involving triangles, including finding missing angles or sides, or determining the type of triangle.
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