Obtuse-Angled Triangle
Q1: What is an Obtuse-Angled Triangle?
Answer:
An obtuse-angled triangle is defined as a triangle whose one interior angle is an obtuse angle, i.e. its measures is more than 90°.
Q2: How many Obtuse Angles are possible in a triangle?
Answer:
A triangle can have a maximum of one obtuse angle. If it has more than one obtuse angle then it fails the angle sum property of the triangle and thus, the triangle does not exist.
Q3: Can a triangle have two Obtuse Angles?
Answer:
No, a triangle can not have two obtuse angles as in this case, it does not verify the angle sum property of traingle and the triangle does not exist.
Q4: What are the different Types of Obtuse-Angled Triangles?
Answer:
Obtuse-angled triangles are classified into two types depending on the side lengths and measures of angles, i.e.,
- Scalene Obtuse Triangle
- Isosceles Obtuse Triangle
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.