In a Constitutional Monarchy the monarch is like a non-executive president in a republic, so the classic tripartite division of authority can exist and, indeed, if it is a Constitutional Monarchy, will almost by definition exist.
It is common to describe monarchs in the Middle Ages as absolute monarchs because they personally had power but in practice life as a king in the Middle Ages was not without its practical limitations. In theory the king can make any law he chooses but if he angers other powerful people within the realm they may attempt to take the crown, or, at least, they may be less eager to come to the king's aid if others attempt to seize the crown, or if the country is attacked from outside. Or he may have difficulty extracting taxes needed to pay for royal expenditure. So a successful king will bring others on board and give them some role in deciding laws.
A successful king also needs professional judges to decide cases according to the law. That is not to say that the king will never intervene in the judicial process but, by and large, the system has to work with some degree of objectivity and independence. Those powerful people who have been given a role in law-making must believe that, by an large, their laws have effect. In order to avoid civil unrest the populace in general has to believe that obeying the law is better than disobeying it which requires some effective system to determine with some degree of objectivity whether a particular person has broken the law or not.
So, in practice, European kings in the Middle Ages did have parliaments (to make laws) and professional judges sitting in courts of law, so there was a tripartite division of authority even if not as perfect as in a Constitutional Monarchy.
A further factor, in the Middle Ages, was the Church. The Pope had quite a lot of influence and power and, in fact, it was sometimes the case that the Lord Chancellor in England was more powerful than the king. This was because the Lord Chancellor was often also the Papal Legate and so was not just dependant on the authority he had from the king. And the Lord Chancellor had important roles in the administration of justice and presided in the upper house of the legislature.
According to Wikipedia:
The lord chancellor's judicial duties also evolved through his role in
the curia regis. Petitions for justice were normally addressed to the
king and the curia, but in 1280, Edward I instructed his justices to
examine and deal with petitions themselves as the Court of King's
Bench. Important petitions were to be sent to the lord chancellor for
his decision; the more significant of these were also to be brought to
the king's attention. By the reign of Edward III, this chancellery
function developed into a separate tribunal for the lord chancellor.
In this body, which became known as the High Court of Chancery, the
lord chancellor would determine cases according to fairness (or
"equity") instead of according to the strict principles of common law.
The lord chancellor also became known as the "keeper of the king's
conscience".