It is the place where the bisectors the three angles of the triangle intersect. Learn with Videos. A circle inscribed in a triangle or other figure so as to touch (but not cross) each side. Since the triangle's three sides are all tangents to the inscribed circle, the distances from the circle's center to the three sides are all equal to the circle's radius. An incircle of a triangle is the largest circle that will fit inside a triangle, just touching each of the triangle's sides.. Another term for the incircle of a triangle is the inscribed circle.. The activity was more of an exploration, it had students create a triangle, incenter, and incircle. Students were required to look up the definition of an incenter, which states that if all three angles in a triangle are bisected and those lines are extended, the intersection of those three bisecting angles is called the incenter. The incenter is the center of the incircle. 8 mins. The incircle of a triangle is a circle that is located in the interior of a triangle and is tangent to all three sides of the triangle. Incircle - definition. A triangle (black) with incircle (blue), incenter (I), excircles (orange), excenters (J A,J B,J C), internal angle bisectors (red) and external angle bisectors (green) In geometry, 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 centre of the incircle of a triangle is called its "incentre". Definition of incircle in the Definitions.net dictionary. Definition of Incircle. To construct the incircle of a triangle, follow these steps: Step 1. Problem 3 (CHMMC Spring 2012). What is the Incircle of a Triangle? This Gergonne triangle T A T B T C is also known as the contact triangle or intouch triangle of ABC.. This definition clearly shows that there can be more than one incircle for certain types of triangles. The Gergonne triangle (of ABC) is defined by the 3 touchpoints of the incircle on the 3 sides.The touchpoint opposite A is denoted T A, etc. ‘The three lines through the incircle and the circumcircle of triangles AIB, BIC, and CIA meet at a point.’ Constructing an Incircle (interactively!) of the Incenter of a Triangle. Incircle and Inradius of a Triangle. Incircle and excircles of a triangle synonyms, Incircle and excircles of a triangle pronunciation, Incircle and excircles of a triangle translation, English dictionary definition of Incircle and excircles of a triangle. Incircle of a triangle is the circle , which touches all three sides of a triangle. Related Questions to study. What does incircle mean? 3 mins read. Definition. Webster Dictionary (0.00 / 0 votes) Rate this definition: Incircle (verb) The incentre is the center of this circle. Quick summary with Stories. The incircle of a triangle ABC is tangent to sides AB and AC at D and E respectively, and O is the circumcenter of triangle BCI. In this situation, the circle is called an inscribed circle, and its center is called the inner center, or incenter. . A circle is inscribed in the triangle if the triangle's three sides are all tangents to a circle. Incircle and Inradius of a Triangle. Prove that \ODB = \OEC. However, there are cases where there is only one unique incircle. The incenter is one of the triangle's points of concurrency formed by the intersection of the triangle's 3 angle bisectors.. Meaning of incircle. The center of the incircle is called the triangle's incenter. ... incircle (Noun) The circle within a triangle that is tangent to all three sides. 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