# Sum of the circumradius and the inradius of a right triangle

## Description

Right triangle or right-angled triangle is a triangle in which one angle is a right angle (that is, a 90-degree angle). The incircle or inscribed circle of a triangle is the largest circle contained in the triangle; it touches (is tangent to) the three sides. The center of the incircle is called the triangle’s incenter. The circumcenter of a triangle is a circle which passes through all the vertices of the triangle. The center of this circle is called the circumcenter and its radius is called the circumradius. The sum of the circumradius and the inradius of a right triangle is half the sum of the legs of the triangle.

Related formulas## Variables

R | The circumradius of the right triangle (m) |

r | The inradius of the right triangle (m) |

a | The side (leg) of the triangle opposite the acute angle Α (m) |

b | The side (leg) of the triangle opposite the acute angle B (m) |