What is the Definition of Obtuse?

This week, geometry is trending! And if you've stumbled upon the word "obtuse," you're likely wondering, what exactly is the definition of obtuse? This article will break down everything you need to know about obtuse angles, obtuse triangles, and the common ways the term is used. Get ready for a deep dive into the world of angles and shapes!

What is the Definition of Obtuse? Unveiling the Angle

The core definition of "obtuse" centers around angles. In geometry, an obtuse angle is any angle that measures greater than 90 degrees and less than 180 degrees. Think of it as an angle that's wider than a right angle (90 degrees) but not quite a straight line (180 degrees).

  • Right Angle: Exactly 90 degrees (like the corner of a square).
  • Acute Angle: Less than 90 degrees.
  • Obtuse Angle: Greater than 90 degrees and less than 180 degrees.
  • Straight Angle: Exactly 180 degrees (a straight line).
  • Reflex Angle: Greater than 180 degrees and less than 360 degrees.

What is the Definition of Obtuse? Obtuse Triangles Explained

The concept of "obtuse" extends to triangles as well. An obtuse triangle is a triangle that contains one obtuse angle. Because the sum of the angles in any triangle must equal 180 degrees, an obtuse triangle can only have one obtuse angle. The other two angles must be acute angles (less than 90 degrees).

Imagine a triangle that's been "pushed over" on one of its corners, making that angle wider than a right angle. That's an obtuse triangle!

What is the Definition of Obtuse? Real-World Examples

Obtuse angles and triangles are all around us! Here are a few examples:

  • A partially open laptop: The angle between the screen and the keyboard can often form an obtuse angle.
  • The roof of some houses: Some roof designs incorporate obtuse angles for aesthetic or practical reasons.
  • A slice of pizza: Depending on how you cut it, a slice of pizza can resemble an obtuse triangle.
  • The hands of a clock: At certain times, the angle formed by the hour and minute hands will be obtuse. For example, around 2:30, the angle between the hands is obtuse.

What is the Definition of Obtuse? Beyond Geometry: A Figurative Meaning

While "obtuse" primarily refers to angles and triangles, it also has a figurative meaning. When used to describe a person, "obtuse" means slow to understand, or deliberately difficult to understand. It suggests a lack of intelligence or a stubborn refusal to grasp something obvious.

For example: "He made several obtuse remarks, completely missing the point of the conversation."

This usage of "obtuse" comes from the idea that someone's mind is like a dull or blunt object, unable to penetrate or understand complex ideas. It carries a negative connotation.

What is the Definition of Obtuse? Why is it Important?

Understanding obtuse angles and triangles is fundamental to geometry and related fields like trigonometry, architecture, and engineering. Recognizing these shapes and angles allows us to:

  • Calculate areas and volumes: Understanding the properties of triangles, including obtuse triangles, is crucial for calculating the area of various shapes.
  • Design stable structures: Architects and engineers use knowledge of angles to create stable and strong buildings and bridges.
  • Solve practical problems: From navigation to construction, understanding angles is essential for solving real-world problems.

What is the Definition of Obtuse? Avoiding Common Mistakes

A common mistake is confusing obtuse angles with reflex angles. Remember, an obtuse angle is less than 180 degrees, while a reflex angle is greater than 180 degrees. Also, don't assume that a triangle is obtuse just because it looks "pointy." You need to measure the angles to be sure.

Conclusion

Hopefully, this article has clarified the definition of obtuse, both in its geometrical and figurative senses. Whether you're working on a math problem or just trying to understand someone's behavior, understanding "obtuse" can be surprisingly helpful!

Q&A Summary

  • Question: What is the definition of obtuse angle?
  • Answer: An obtuse angle is an angle greater than 90 degrees and less than 180 degrees.
  • Question: What is the definition of obtuse triangle?
  • Answer: An obtuse triangle is a triangle that contains one obtuse angle.
  • Question: What is the definition of obtuse when describing a person?
  • Answer: When describing a person, obtuse means slow to understand, or deliberately difficult to understand.

Keywords: what is the definition of obtuse, obtuse angle, obtuse triangle, definition of obtuse, types of angles, geometry, math, angle, triangle.