Can a Triangle have Two Obtuse Angles?
The simple answer to this question is NO. Now let’s learn why a triangle can not have two obtuse angles. Suppose we have a triangle with two obtuse angles say 95°, 100° and 50°. Now according to the angle sum property of the triangle, the sum of all the interior angles must be 180°. In this case, the sum exceeds the value of 180°
95° + 100° + 50° = 245° > 180°
So this triangle is not possible. Similarly, any two obtuse angles taken together exceed the sum of 180° and hence we can not have a triangle with two obtuse angles.
Obtuse Angled Triangle
Obtuse angle triangles are triangles in which one angle of the triangle measures greater than 90 degrees. As the name suggests one angle of an obtuse angle triangle is an obtuse angle. A triangle is a closed, two-dimensional geometric figure with three angles, and the sum of all the angles of a triangle is 180 degrees. On the basis of a measure of angles, we divide the triangle into three categories i.e.
- Right Triangle
- Acute Triangle
- Obtuse Triangle
Now, let’s learn more about obtuse angled triangles, their properties, formulas, examples, and others in detail in this article.