
Refer to the figure: In right triangle with right angle at , the base is divided into segments of lengths 6 and 10 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 10 and vertical leg . The area of triangle is at least 64 but no more than 80. If is an integer, what is one possible value of ?