Le solide suivant est un parallélépipède rectangle.
{"options": {"render": {"sprite_scale": 0.02, "label_fontsize": 240}, "size": {"width": 300, "height": 300}, "camera": {"starting_position": {"x": 100, "y": 200, "z": 400}}, "materials_options": {"surface": {"color": "white"}, "solid_line": {"color": "black", "linewidth": 2}, "dashed_line": {"color": "red", "linewidth": 2}, "hidden_solid_line": {"color": "black", "linewidth": 2}}}, "data": {"Segment3D_0": {"type": "Segment", "pt1": {"x": -16.5, "y": -12.5, "z": -12.5}, "pt2": {"x": 16.5, "y": 12.5, "z": 12.5}, "point_render": {"visible": false}, "label_render": {"visible": false}, "line_render": {"visible": true, "dashed": true}}, "Cuboid_(ABCDEFGH)": {"position": {"x": 0.0, "y": 0.0, "z": 0.0}, "rotation": {"x": 0.0, "y": 0.0, "z": 0.0, "order": "XYZ"}, "type": "Cuboid", "lx": 33.0, "ly": 25.0, "lz": 25.0, "point_render": {"visible": false}, "label_render": {"visible": true}}, "Label_for_Point3D_A": {"type": "Label", "position": {"x": -16.5, "y": -12.5, "z": -12.5}, "text": "A", "position_offset": {"x": -3.275216900610602, "y": -2.481224924705001, "z": -2.481224924705001}}, "Label_for_Point3D_B": {"type": "Label", "position": {"x": 16.5, "y": -12.5, "z": -12.5}, "text": "B", "position_offset": {"x": 3.275216900610602, "y": -2.481224924705001, "z": -2.481224924705001}}, "Label_for_Point3D_C": {"type": "Label", "position": {"x": 16.5, "y": 12.5, "z": -12.5}, "text": "C", "position_offset": {"x": 3.275216900610602, "y": 2.481224924705001, "z": -2.481224924705001}}, "Label_for_Point3D_D": {"type": "Label", "position": {"x": -16.5, "y": 12.5, "z": -12.5}, "text": "D", "position_offset": {"x": -3.275216900610602, "y": 2.481224924705001, "z": -2.481224924705001}}, "Label_for_Point3D_E": {"type": "Label", "position": {"x": -16.5, "y": -12.5, "z": 12.5}, "text": "E", "position_offset": {"x": -3.275216900610602, "y": -2.481224924705001, "z": 2.481224924705001}}, "Label_for_Point3D_F": {"type": "Label", "position": {"x": 16.5, "y": -12.5, "z": 12.5}, "text": "F", "position_offset": {"x": 3.275216900610602, "y": -2.481224924705001, "z": 2.481224924705001}}, "Label_for_Point3D_G": {"type": "Label", "position": {"x": 16.5, "y": 12.5, "z": 12.5}, "text": "G", "position_offset": {"x": 3.275216900610602, "y": 2.481224924705001, "z": 2.481224924705001}}, "Label_for_Point3D_H": {"type": "Label", "position": {"x": -16.5, "y": 12.5, "z": 12.5}, "text": "H", "position_offset": {"x": -3.275216900610602, "y": 2.481224924705001, "z": 2.481224924705001}}}}
Calculer la longueur \( AG \), sachant que \( AB = 119 cm \), \( DH = 91 cm \) et \( GCBF \) est un carré.
On arrondira le résultat au centimètre près.