Let r denote the radius of the inscribed circle for ^ABC
Chapter 9, Problem 49(choose chapter or problem)
Let r denote the radius of the inscribed circle for ^ABC and (as in the previous exercise) let a denote the area of ^ABC. Follow parts (a) through (c) to show that (a) In the following figure, the inscribed circle (with center I) is tangent to side at the point D. According to a theorem from geometry, is perpendicular to What theorem is this? (State the theorem in complete sentences.) Then explain why the area of ^AIC is (continues) I A C B r D 1 2 rb.(b) In the figure accompanying part (a), draw linesegments and and then explain why(c) Solve the equation in part (b) for r. You should obtainr 2a/(a b c), as required.
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