Problem 1. The optimal triangle

Author:Alla Stolyarevska

A circle of radius R lies on a plane. The two circles with radii R1 and R2, such that R1 + R2 = R, are cut out of the circle. Find a triangle of largest area that can be inscribed in a figure obtained after cutting.

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Dilation + Rotation of Pentagons
Proof of a Rhombus by Construction and Deduction
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Set Operations (2 Sets)

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Teorema di Wallace-Bolyai-Gerwien (Passo 3)
שיפוע משיק בנקודה - המחשה
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Algebra
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Rectangle