1. Warm Up: Is the triangle right, acute or obtuse?
Find the measurement indicated and state the property that you used to find it.

2. Vocabulary:
Median of a triangle: a segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side.
Centroid of a triangle: the point of concurrency of the three medians of a triangle. This point is also called the center of gravity.
Altitude of a triangle: a perpendicular segment from a vertex to the line containing the opposite side.
Orthocenter of a triangle: the point of concurrency of the three altitudes of a triangle.

3. “One machine can do the work of 50 ordinary men
“One machine can do the work of 50 ordinary men. No machine can do the work of one extraordinary man. ”
-Elbert Hubbard

4. Lesson 32: Altitudes and Medians of Triangles

5. More Triangle Theorems:

6. Example 1:

7. Practice:

8. Practice:

9. Practice:

10. Practice:

11. Orthocenter of a triangle:

12. Orthocenter of a triangle:

13. What do we need the centroid for??

14. Lesson Practice: