Asquare that is drawn on the hypotenuse of a right triangle has an area of 25 cm2 what are the possible lengths of the legs?

The possible lengths of the legs could be 5 x 5 because the product of this multiplication could be equal to 25, making the area of the square twice the sixe of the right triangles. Because a square has all equal sides the two legs of the right triangle would have to be equal to each other making them two sides of the square and the hypotenuse of that right triangle would be one of the two diagonals that belong to the square. 

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