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Equilateral Triangles

An equilateral triangle is a special case of isosceles triangles, in which all three sides of the triangle are equal:

Equilateral Triangle

Since it is a special case of isosceles triangles, all the properties of isosceles triangles apply to an equilateral triangle as well, so the base angles are equal.

But since in this case, the third side is also the same, any side can serve as the base, and so we see that all angles must be the same.

And since the sum of all angles is 180°, each angle of an equilateral triangle must be 180°/3=60°.

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Now that we've explained the basic concept of equilateral triangles in geometry, let's scroll down to work on specific geometry problems relating to this topic.

area of equilateral triangle

Finding the Area of an Equilateral Triangle from its Perimeter

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About

Welcome to Geometry Help! I'm Ido Sarig, a high-tech executive with a BSc degree in Computer Engineering and an MBA degree in Management of Technology. I'm here to tell you that geometry doesn't have to be so hard! My goal with this website is to help you develop a better way to approach and solve geometry problems, even if spatial awareness is not your strongest quality. Read More…

Geometry Topics

  • Area of Geometric Shapes
  • Circles
    • Arcs, Angles, and Sectors
    • Chords
    • Inscribed Shapes
    • Tangent Lines
  • Lines and Angles
    • Intersecting Lines and Angles
    • Parallel Lines
    • Perpendicular lines
  • Pentagons and Hexagons
  • Perimeter of Geometric Shapes
  • Polygons
  • Quadrangles
    • Kites (Deltoids)
    • Parallelograms
    • Rectangles
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  • Triangles
    • Congruent Triangles
    • Equilateral Triangles
    • Isosceles Triangles
    • Pythagorean Theorem
    • Right Triangles
    • Similar Triangles
    • Triangle Inequalities

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