Fill in the blank(s) to correctly complete each sentence.
An equilateral triangle has _________________ equal sides.

Verified step by step guidance

1. Step 1: Recall the definition of an equilateral triangle. An equilateral triangle is a triangle in which all three sides are of equal length.
2. Step 2: Understand that in an equilateral triangle, not only are all sides equal, but all internal angles are also equal, each measuring 60 degrees.
3. Step 3: Since the problem asks for the number of equal sides in an equilateral triangle, focus on the property of side equality.
4. Step 4: Recognize that by definition, an equilateral triangle has three equal sides.
5. Step 5: Fill in the blank with the number 'three' to complete the sentence: 'An equilateral triangle has three equal sides.'

Key Concepts

Equilateral Triangle

An equilateral triangle is a type of triangle where all three sides are of equal length. This property also implies that all three interior angles are equal, each measuring 60 degrees. Understanding this definition is crucial for solving problems related to equilateral triangles, as it establishes the foundational characteristics that define them.

Properties of Triangles

Triangles have specific properties that govern their structure and relationships between sides and angles. For instance, the sum of the interior angles in any triangle is always 180 degrees. Recognizing these properties helps in understanding how different types of triangles, including equilateral triangles, behave in geometric contexts.

Geometric Notation

Geometric notation is the language used to describe shapes, angles, and relationships in geometry. In the context of triangles, notation helps in identifying sides and angles, such as labeling the sides of an equilateral triangle as 'a', 'b', and 'c', where 'a = b = c'. Familiarity with this notation is essential for accurately interpreting and solving geometric problems.