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2B.5 Choose a point P on side AC of ?ABC and write p = AP / AC. Let x = AX / AM, where X

2B.5 Choose a point P on side AC of ?ABC and write p = AP / AC. Let x = AX / AM, where X is the point where BP crosses median AM, and observe that x = 2/3 when p = 1/2. Find a general formula for x in terms of p. HINT: Put masses of one unit each at points B and C and find an appropriate mass to put at point A so that the center of mass will be at X.

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