The arrangement of the side lengths from least to greatest is , GF , DF, DE, EF, EG
The relationship between the angle of a triangle and the corresponding opposite side length is that the larger the angle the larger the opposite side length.
The order of the angles from least to greatest is
57°, 57° , 59°, 64° , 71°
Since angle D = 180 - ( 57+59)
= 180 - 116
= 64°
The corresponding opposite angles from least to greatest is ;GF , DF, DE, EF, EG
Therefore, the arrangement of the side lengths from least to greatest is , GF , DF, DE, EF, EG