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What is the area of the rectangle? What is the minimum area for a triangle that satisfies the conditions?

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A right triangle contains an inscribed rectangle, as shown below, where the rectangle and right triangle share the common right angle. The distance from the top side of the rectangle to the top triangle vertex is 4, and the distance from the right side of the rectangle to the right tringle vertex is 3.

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What is the area of the rectangle? What is the minimum area for a triangle that satisfies the conditions?

posted Aug 3 by Tapesh Kulkarni

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