Suppose that a right triangle has legs of lengths 9 cm and 6 cm. (Note that the legs of a right triangle are the two sides that are not the hypotenuse.) A rectangle is inscribed in this right triangle so that two sides of the rectangle lie along the legs. Find the largest possible area of such a rectangle.
Added by Lisa K.
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The legs of the triangle are given as 9 cm and 6 cm. We can denote the lengths of the legs as \( a = 9 \) cm and \( b = 6 \) cm. Show more…
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