Final answer:
In Robert Sternberg's triangular theory of love, a relationship with intimacy, passion, and commitment is called consummate love, which encompasses a deep emotional connection, sexual attraction, and long-term dedication.
Step-by-step explanation:
According to Robert Sternberg's triangular theory of love, when two people share a loving, sexually vibrant, long-term relationship, it is called consummate love. This type of love is characterized by the presence of all three components of love: intimacy, which involves sharing detailed thoughts, emotions, and having a sense of connectedness; passion, which is the physical attraction and sexual chemistry in the relationship; and commitment, which is the decision to maintain the relationship over the long term. Sternberg's theory highlights that different aspects of love might be more prevalent at different life stages and relationships can exhibit varying combinations of these three components, leading to different types of love experiences.