Where can the medians of a triangle intersect?

I. inside the triangle
II. on the triangle
III. outside the triangle
A. I only
B. III only
C. I or III only
D. I, II, or II

3 answers

C maybe?
since the medians are all inside the triangle, surely (A)

Try drawing some. A triangle can only have three acute angles, or one obtuse angles.

google triangle medians and see lots of images. You will see that no matter what the shape of the triangle, the medians must always intersect inside it.

In fact, if you look carefully, you will find a theorem that proves that they always intersect 2/3 of the way from each vertex to the opposite side.
Steve is so right thxxx
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