Final answer:
In the femoral triangle, the deep femoral artery gives rise to the lateral circumflex artery, supplying blood to the thigh muscles and integument, and the femoral artery also originates the genicular artery, servicing the knee area.
Step-by-step explanation:
The deep femoral artery, which is a branch of the femoral artery, plays a critical role in supplying blood to various parts of the thigh and knee. Specifically in the femoral triangle, the deep femoral artery gives rise to the lateral circumflex artery which has an important function in providing blood to the deep muscles of the thigh, as well as to the ventral and lateral regions of the integument. Furthermore, the femoral artery is responsible for the origin of the genicular artery, which supplies blood to the region of the knee.