Fill in the blank(s) to correctly complete each sentence.


A triangle that is not a right triangle is a(n) _________ triangle.

Verified step by step guidance

1. Recall the classification of triangles based on their angles: a right triangle has one angle exactly equal to 90 degrees.
2. Understand that if a triangle does not have a right angle, it means none of its angles is 90 degrees.
3. Triangles without a right angle can be either acute (all angles less than 90 degrees) or obtuse (one angle greater than 90 degrees).
4. Therefore, a triangle that is not a right triangle is called an \(\textbf{oblique}\) triangle.
5. So, the blank should be filled with the word \(\textit{oblique}\) to correctly complete the sentence.

Key Concepts

Types of Triangles Based on Angles

Triangles are classified by their angles into acute, right, and obtuse triangles. A right triangle has one 90-degree angle, while acute triangles have all angles less than 90 degrees, and obtuse triangles have one angle greater than 90 degrees.

Right Triangle Definition

A right triangle is defined as a triangle that contains exactly one right angle (90 degrees). This classification is fundamental in trigonometry because many formulas and theorems apply specifically to right triangles.

Non-Right Triangles

Triangles that do not have a right angle are called non-right triangles, which include acute and obtuse triangles. Understanding this distinction helps in applying appropriate trigonometric methods, such as the Law of Sines or Law of Cosines.