In triangle ABC, AB=5, AC=6, and BC=9. Circles are drawn with centers A, B, and C, so that any two circles are externally tangent. Find the sum of the areas of the circles.
In triangle ABC, AB=5, AC=6, and BC=9. Circles are drawn with centers A, B, and C so that any two circles are externally tangent. Find the sum of the areas of the circles.
