Just one to mention one thing, height doesn't have anything to do with intelligence, like you mentioned in the OP. Unless they are taller because they had better nutrition growing up, which does affect intelligence.
Height and IQ are positively correlated in children. I do not know how much of this effect is due to nutrition. However, the studies I cited were done in the US in the 1920s which so poor nutrition would presumably have been less of an issue. Here is a discussion from earlier in the thread where I highlighted my source for this.
Those gifted with superior intellect are not only smarter, they are also taller, healthier, and more athletic than average.
Let's start with your first claim
You are claiming that people with high IQ are also taller, healthier, and more athletic
Where the hell did you get that idea?
The original studies are old and to my knowledge not available online but a summary can be found here.
https://en.m.wikipedia.org/wiki/Lewis_TermanTerman found his answers in his longitudinal study on gifted children: Genetic Studies of Genius.[12] Initiated in 1921, the Genetic Studies of Genius was from the outset a long-term study of gifted children. Published in five volumes, Terman followed children with extremely high IQ in childhood throughout their lives. The fifth volume examined the children in a 35 year follow-up, and looked at the gifted group during mid-life.[13]
Genetic Studies of Genius revealed that gifted and genius children were in at least as good as average health and had normal personalities. Few of them demonstrated the previously-held negative stereotypes of gifted children. He found that gifted children did not fit the existing stereotypes often associated with them: they were not weak and sickly social misfits, but in fact were generally taller, in better health, better developed physically, and better adapted socially than other children. The children included in his studies were colloquially referred to as "Termites".[14] The gifted children thrived both socially and academically. In relationships, they were a less likely to divorce.[6]
Additionally, those in the gifted group were generally successful in their careers: Many received awards recognizing their achievements. Though many of the children (affectionately known as Termites [6]) reached exceptional heights in adulthood, not all did. Terman explored the causes of obvious talent not being realized, exploring personal obstacles, education, and lack of opportunity as causes.[9]