
Refer to the figure: In right triangle with right angle at , the base is divided into segments of lengths 3 and 9 by a perpendicular from to . This perpendicular creates two right triangles: the left triangle has hypotenuse and vertical leg , and the right triangle has horizontal leg 9 and vertical leg . The area of triangle is at least 48 but no more than 60. If is an integer, what is one possible value of ?