Question

Question was provided via image upload.

Explanation:

The blanks are filled based on the definitions and properties of triangle altitudes and orthocenters provided in the diagram.

1. For the final sentence, we use the explicit statement from the section above: "Altitudes can be inside a triangle, outside a triangle, or a side of the triangle".
2. The earlier blanks are already correctly filled in the image, so we confirm those align with the definitions: an altitude connects a vertex and is perpendicular to the opposite side; the orthocenter is the intersection of a triangle's three altitudes.

Answer:

1. Completed final sentence:

An Altitude can be $\boldsymbol{inside}$ a triangle, $\boldsymbol{outside}$ a triangle, or a $\boldsymbol{side}$ of the triangle.

1. Confirmation of pre-filled correct terms:

• Altitude definition: vertex, perpendicular
• Orthocenter definition: altitudes
• Listed altitudes: $\overline{AE}$, $\overline{BF}$, $\overline{CD}$
• Orthocenter: $P$