The altitude of a right triangle to the hypotenuse is the geometric mean (mean proportional) of the two segments of the hypotenuse:
$$h^{2}=pq \Rightarrow h=\sqrt{pq}$$
Frequently asked questions
What does the right triangle altitude theorem state?
It states that the altitude to the hypotenuse is the geometric mean of the two segments of the hypotenuse.
What do p and q represent?
They represent the two segments into which the altitude divides the hypotenuse.
When is this theorem used?
It is used in right triangle geometry problems involving altitudes, hypotenuse segments, and proportional relationships.
