obtuse triangle
An obtuse triangle is a type of triangle in which one of the angles measures greater than 90 degrees
An obtuse triangle is a type of triangle in which one of the angles measures greater than 90 degrees. In other words, it is a triangle that has one angle that is “obtuse” or wider than a right angle.
To determine if a triangle is obtuse, you can examine the measures of its angles. If one angle is greater than 90 degrees, then the triangle is obtuse. The other two angles in an obtuse triangle are acute, meaning they are less than 90 degrees.
It is important to note that the sum of the measures of the three angles in any triangle is always 180 degrees. Therefore, if one angle in a triangle is obtuse, the sum of the other two angles must be less than 90 degrees in order to satisfy the condition that the sum of all three angles equals 180 degrees.
Obtuse triangles have some distinctive properties. For example, the side opposite the obtuse angle, called the “longest side,” is always the longest side in the triangle. The other two sides are shorter and can be the same length or different. Additionally, the altitudes of an obtuse triangle always lie outside the triangle, as opposed to intersecting or being contained within the triangle.
Overall, an obtuse triangle is a triangle with one angle greater than 90 degrees and the other two angles being acute.
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