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Problem 196. Triangle, Inradius and Exradii Formula

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In the figure below, given a triangle ABC, r is the inradius and ra, rb, rc, are the exradii. Prove that




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Problem 197. Area of a Triangle, Side, Inradius, and Exradius

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In the figure below, given a triangle ABC of area S, r is the inradius, and ra is the exradius relative to side BC = a. Prove that




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