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


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

Key Concepts

Types of Triangles

Triangles can be classified based on their angles and sides. The main types include right triangles, which have one 90-degree angle, and non-right triangles, which can be acute (all angles less than 90 degrees) or obtuse (one angle greater than 90 degrees). Understanding these classifications is essential for identifying the properties and relationships within different types of triangles.

Acute and Obtuse Triangles

An acute triangle is defined as a triangle where all three interior angles are less than 90 degrees, while an obtuse triangle has one angle that exceeds 90 degrees. Recognizing these distinctions helps in solving problems related to triangle properties, such as angle sums and side lengths, which are fundamental in trigonometry.

Triangle Sum Theorem

The Triangle Sum Theorem states that the sum of the interior angles of any triangle is always 180 degrees. This theorem is crucial for determining unknown angles in a triangle and is applicable to both right and non-right triangles, providing a foundational principle for further exploration of trigonometric functions and relationships.