Equilateral Triangle - Principal Properties

Principal Properties

Assuming the lengths of the sides of the equilateral triangle are a, we can determine using the Pythagorean theorem that:

  • The area is
  • The perimeter is
  • The radius of the circumscribed circle is
  • The radius of the inscribed circle is
  • The geometric center of the triangle is the center of the circumscribed and inscribed circles
  • And the altitude (height) from any side is .

In an equilateral triangle, the altitudes, the angle bisectors, the perpendicular bisectors and the medians to each side coincide.

Read more about this topic:  Equilateral Triangle

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