Asked by DAS
A circle is inscribed in 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).
Find the sum of the areas of all four inscribed circles (in terms of a, b, c).
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