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Let T be an acute triangle Inscribe a pa...

Let T be an acute triangle Inscribe a pair R,S of rectangle in T as shown:
Let `A(x)` denote the area of polygon X find the maximum value (or show that no maximum exists), of `(A(R)+A(S))/(A(T))`, where T ranges over all triangles and R,S over all rectangle as above.
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Required maximum ratio =`2/3`
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