Question 464258
By the triangle inequality, the third side length must be between 16 m and 62 m (39-23 and 39+23). To visualize it, fix the side of length 39, and draw a circle of radius 23 with center at one of the endpoints:


{{{drawing(400,400,-45,25,-35,35,


line(-39,0,0,0),
circle(0,0,23),
line(0,0,23,0),
locate(23/2,0, 23),
locate(-23/2,0,23),
locate(-31,0,16),
red(line(0,0,sqrt(37),sqrt(492))),
green(line(-39,0,sqrt(37),sqrt(492)))

)
}}}


We see that the minimum length of the green segment is 16, and the maximum length is (16+23) + 23 = 62.