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

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

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

Find HB if H is the centroid of ΔABC and HL = 7. 21 3.5 2.3 14 10.5 L M C

Find AN if H is the centroid of ΔABC and HN = 15. 45 5 10 30 22.5 L M C

Find HC if H is the centroid of ΔABC and MC = 30. 10 20 15 45 60 L M C