Question

question 1
medians are select located inside the triangle.
altitudes are select located on the triangle.
centroids are select located outside the triangle.

Explanation:

• Medians: A median of a triangle is a line segment joining a vertex to the mid - point of the opposite side. Since the mid - point of a side is on the side (and thus inside the triangle when considering the connection from the vertex), medians are always inside the triangle.
• Altitudes: An altitude of a triangle is a perpendicular segment from a vertex to the line containing the opposite side. In an acute triangle, all altitudes are inside the triangle. In a right triangle, two altitudes are the legs (on the triangle), and in an obtuse triangle, one altitude is outside the triangle. So, altitudes are sometimes on the triangle.
• Centroids: The centroid of a triangle is the point of intersection of its medians. Since medians are always inside the triangle, the centroid (their intersection) is never outside the triangle.

Answer:

Medians are always located inside the triangle.
Altitudes are sometimes located on the triangle.
Centroids are never located outside the triangle.