In triangle, F, H, G△FHG shown below, point II is on start overline, G, H, end overline GH , and point JJ is on start overline, F, H, end overline FH , and start overline, J, I, end overline JI is drawn perpendicular to hypotenuse start overline, F, H, end overline FH . If G, H, equals, 55GH=55, J, H, equals, 25JH=25, and F, G, equals, 66FG=66, find the length of start overline, I, J, end overline IJ . Figures are not necessarily drawn to scale.