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Geometry Problem 80: Triangle Area, Side, Inradius, Circumradius. High School, College, Math Education

Given a triangle ABC of area S, the incircle of center I and inradius r. If AC = b and AB = c, prove that area of triangle DIE is \(S_1 = \dfrac{r^2}{b\cdot c}\cdot S\).

Area of a triangle, incenter, inradius, sides

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Poster of problem 80 

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