By Mitch Phillips RIO DE JANEIRO (Reuters) - Hot favorite Gwen Jorgensen produced the perfect race to win the Olympic women's triathlon gold on Saturday, the American unusually staying with her rivals on the bike before surging clear of defending champion Nicola Spirig-Hug on the run. Jorgensen has dominated the sport over the last two years but usually wins her races by chasing down the stronger bikers during the 10km run. On Saturday, however, she swam strongly, gave as good as she got on the hilly 40km bike course and broke the challenge of 34-year-old Spirig-Hug on the run to win America's first gold in the sport since it was introduced to the Games in 2000. More...