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Quad Circles in Triangles (Posted on 2024-06-18) Difficulty: 3 of 5
A circle is inscribed in a triangle ABC with sides a,b,c. Tangents to the circle parallel to the sides of the triangle are constructed. Each of these tangents cuts off a triangle from △ABC. In each of these triangles, a circle is inscribed. Find the sum of the areas of all four inscribed circles (in terms of a,b,c).

No Solution Yet Submitted by Danish Ahmed Khan    
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  Subject Author Date
SolutionSolutionBrian Smith2024-06-19 23:21:16
Some ThoughtsIf oversimplified to an equilateralLarry2024-06-19 11:16:55
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