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Problem of the Week |
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PROBLEM 276 What is the area of the largest rectangle which fits into a right triangle with side lengths 3,4,5, under the additional condition that one of the corners of the rectangle lies on the midpoint, P, of the side of length 4? See the diagram on the left. (For those with more free time than me: Solve the general case; that is, what is the area of the largest rectangle which fits into a general triangle under the additional assumption that one of the corners of the triangle is constrained to lie on a predetermined point of the triangle?) You are visitor
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