# Relation between the inradius and exradii of an equilateral triangle

## Description

an equilateral triangle is a triangle in which all three sides are equal. In traditional or Euclidean geometry, equilateral triangles are also equiangular; that is, all three internal angles are also congruent to each other and are each 60°. The radius of the inscribed circle of the triangle is related to the extraradii of the triangle. ( An excircle of the triangle is a circle lying outside the triangle, tangent to one of its sides and tangent to the extensions of the other two. Their radii are called exradii.)

Related formulas## Variables

r | The inradius of the triangle (m) |

r_{a} | The exradius of the triangle (m) |

r_{b} | The exradius of the triangle (m) |

r_{c} | The exradius of the triangle (m) |