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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