Question

Does a median always lie in the interior of the triangle?Give reason?​

Answer 1

Step-by-step explanation:

Yes, the median does lie wholly in the interior of the triangle. From the given figure, you can see that no matter if it is a right-angled, obtuse-angled or acute-angled triangle, the medians do lie always in the interior of the triangle.

Answer 2

And join the midpoint of the side with its respective opposite vertex. Thus the medians of a right-angled triangle are AF, BG, CE. Thus the medians of a right-angled triangle lie wholly inside the triangle.