(Solved): The Purkait triangle, located at the end of the femur (thigh bone), has been used to identify the ...

The Purkait triangle, located at the end of the femur (thigh bone), has been used to identify the gender of fragmented skeletal remains. See the figure. Given \( \overline{\mathrm{AB}}=34.7 \mathrm{~mm}, \overline{\mathrm{AC}}=50.2 \mathrm{~mm} \), and \( \mathrm{A}=89.2^{\circ} \), find the length of \( \overline{\mathrm{BC}} \). The length of \( \overline{B C} \) is approximately \( \mathrm{mm} \). (Round to the nearest tenth as needed.)