Show that the green dotted line, which is an altitude of the blue triangle, is also a median of the orange triangle.
Scroll down for a solution to this problem.
Solution
![](https://mirangu.com/wp-content/uploads/2023/12/TheHighwaySolution.jpg)
The conclusion about a median of the orange triangle holds for any cevian of the original blue triangle – It need not be an altitude.
See also The owl of Ceva for the first step.