Triangle ABC (angle ACB > 90) is inscribed in a circle centered at S. D is the intersection point of segments CS and AB. Prove that if AC+BC=2CS, then radii of the circles inscribed into triangles ADC and BDC are equal.

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- October 11th 2009, 08:33 AMsh00terGeometry
Triangle ABC (angle ACB > 90) is inscribed in a circle centered at S. D is the intersection point of segments CS and AB. Prove that if AC+BC=2CS, then radii of the circles inscribed into triangles ADC and BDC are equal.