Which triangle has one angle greater than 90 degrees?

Which triangle has one angle greater than 90 degrees?

• A. Equilateral
• B. Scalene
• C. Acute
• D. Obtuse

Answer: (D)

The triangle with one angle greater than 90 degrees is known as an obtuse triangle. In an obtuse triangle, one of the internal angles measures more than 90 degrees, which fundamentally defines its classification. This characteristic impacts the triangle’s overall properties and calculations, such as the sum of its interior angles, which will always equal 180 degrees. Obtuse triangles frequently appear in various applications within engineering and physics due to their unique angular configuration, necessitating different consideration compared to other types of triangles. Other triangle types, such as equilateral triangles, scalene triangles, and acute triangles, have distinctly different angle characteristics. Equilateral triangles have three equal angles, all measuring 60 degrees, making them acute. Scalene triangles can have a combination of angles, but none of them can exceed 90 degrees unless they are specifically defined as obtuse. Acute triangles, by definition, consist of three angles, all measuring less than 90 degrees. Therefore, they do not meet the criteria for having an angle greater than 90 degrees.

The triangle with one angle greater than 90 degrees is known as an obtuse triangle. In an obtuse triangle, one of the internal angles measures more than 90 degrees, which fundamentally defines its classification. This characteristic impacts the triangle’s overall properties and calculations, such as the sum of its interior angles, which will always equal 180 degrees.

Obtuse triangles frequently appear in various applications within engineering and physics due to their unique angular configuration, necessitating different consideration compared to other types of triangles.

Other triangle types, such as equilateral triangles, scalene triangles, and acute triangles, have distinctly different angle characteristics. Equilateral triangles have three equal angles, all measuring 60 degrees, making them acute. Scalene triangles can have a combination of angles, but none of them can exceed 90 degrees unless they are specifically defined as obtuse. Acute triangles, by definition, consist of three angles, all measuring less than 90 degrees. Therefore, they do not meet the criteria for having an angle greater than 90 degrees.