# Radius of the incircle 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 radius of the incircle of a right triangle can be expressed in terms of legs and the hypotenuse of the right triangle.

Related formulas## Variables

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

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

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

c | The hypotenuse of the right triangle (m) |