Does the median lie wholly in the interior of the triangle?

Yes

Hey there! 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.

Hello... see, median is a line which divides something into two equal parts. So, it will surely be in the interior of the triangle. And another is altitude, a straight line projected from a vertex (corner) of the triangle perpendicular (at a right angle) to the opposite side. Its centrecan be in the interior or exterior of the triangle as in a acute triangle, it is inside but in a obtuse triangle, it is outside of the triangle.

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.