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A random point D is chosen inside a triangle ABC . Suppose that Area∆BCD=a cm2, Area∆ACD=b...

A random point D is chosen inside a triangle ABC . Suppose that Area∆BCD=a cm2, Area∆ACD=b cm2, Area∆BAD=c cm2. What is the probability that there is a triangle with sides a cm, b cm, c cm?

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