Median and Altitude of a Triangle Sec 5.3

1. Median and Altitude of a TriangleSec 5.3 Goal: To use properties of the medians of a triangle. To use properties of the altitudes of a triangle.

2. Median of a Triangle Median of a Triangle � a segment whose endpoints are the vertex of a triangle and the midpoint of the opposite side.

3. Median of an Obtuse Triangle

4. Medians of a TriangleTheorem 5.7

5. Example - Medians of a Triangle

6. Median of an Acute Triangle

7. Median of a Right Triangle

8. Altitude of a Triangle

9. Altitude of an Acute Triangle

10. Altitude of a Right Triangle

11. Altitude of an Obtuse Triangle

12. Altitudes of a TriangleTheorem 5.8

13. Example Determine if EG is a perpendicular bisector, and angle bisector, a median, or an altitude of triangle DEF given that:

14. Review Properties / Points of Concurrency Median -- Centroid Altitude -- Orthocenter Perpendicular Bisector -- Circumcenter Angle Bisector -- Incenter