1. Ch. 5 – Properties of Triangles
5.3 – Medians and Altitudes of a Triangle

2. Medians
Median = a segment from one vertex to the opposite midpoint of a Δ.
All 3 medians intersect at the centroid of the Δ. A
2/3 Rule: The centroid is 2/3 of the way from the vertex to the opposite midpoint X B C F

3. Altitudes
Altitude = segment drawn from a vertex perpendicular to the opposite side.
Draw the 3 altitudes for these triangles:

4. Find HB if H is the centroid of ΔABC and HL = 7.21
3.5
2.3 14
10.5 L M C

5. Find AN if H is the centroid of ΔABC and HN = 15.45 5 10 30
22.5 L M C

6. Find HC if H is the centroid of ΔABC and MC = 30.10 20 15 45 60 L M C