Like the Purkait triangle in Problem 53, the metric triangle is located at the proximal end of the femur and has been used to identify the sex of fragmented skeletal remains. See the figure.

(a) If A̅C̅ = 48.8 mm, B̅C̅= 62.2 mm, and C = 89°, find the length of A̅B̅.

(b) If A̅B̅ 80 mm typically indicates a man, which sex, if any, would be identified from the measurements in part (a)?

Data from in problem 

A C B