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[Music] hello and welcome to another Common Core geometry lesson by my name is Kirk Weiler and today well be doing unit 4 lesson number 6 on the inscribed circle of a triangle now a few lessons ago we did a lesson on the circumscribed circle of a triangle this is another lesson where we explore the interesting relationships between triangles and circles all right so lets get right into what an inscribed circle is all right here we go every triangle has a circle that can be inscribed in it such that the circle is tangent and well talk about exactly what that looks like in a minute once my picture comes up so a circle that is tangent just touches each of the three sides so here Ive got this triangle right and Ive got a circle with tangent points e F and G these again our points where the circle touches the triangle but doesnt cut through it thats the idea of a tangent tangents are amazingly important and again just like the circumscribed circle there is only one inscribed circle