If a triangle has one angle of 90 degrees, what type of triangle is it?

If a triangle has one angle of 90 degrees, what type of triangle is it?

• A. Acute triangle
• B. Obtuse triangle
• C. Right triangle
• D. Scalene triangle

Answer: (C)

A triangle that has one angle measuring 90 degrees is classified as a right triangle. This specific type of triangle is defined by the presence of this right angle, which is an integral aspect of its properties. In a right triangle, the other two angles must each be acute (less than 90 degrees), ensuring that the sum of all interior angles equals 180 degrees. The unique characteristic of having a 90-degree angle sets right triangles apart from other types. Acute triangles, for instance, have all angles measuring less than 90 degrees, while obtuse triangles possess one angle that exceeds 90 degrees. Scalene triangles, on the other hand, are defined by having all sides of different lengths, but they can be right triangles as well. Recognizing that the presence of a right angle is the defining feature of a right triangle highlights why this classification is correct. It emphasizes the fundamental property of the triangle and aids in deeper understanding of geometric principles.

A triangle that has one angle measuring 90 degrees is classified as a right triangle. This specific type of triangle is defined by the presence of this right angle, which is an integral aspect of its properties. In a right triangle, the other two angles must each be acute (less than 90 degrees), ensuring that the sum of all interior angles equals 180 degrees.

The unique characteristic of having a 90-degree angle sets right triangles apart from other types. Acute triangles, for instance, have all angles measuring less than 90 degrees, while obtuse triangles possess one angle that exceeds 90 degrees. Scalene triangles, on the other hand, are defined by having all sides of different lengths, but they can be right triangles as well.

Recognizing that the presence of a right angle is the defining feature of a right triangle highlights why this classification is correct. It emphasizes the fundamental property of the triangle and aids in deeper understanding of geometric principles.