2018 · 6.3 Medians and Altitudes of Triangles Using the median of a triangle A median of a triangle is a segment from a vertex to

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Page 1: 6.3 Medians and Altitudes of Triangles · 1/6/2018 · 6.3 Medians and Altitudes of Triangles Using the median of a triangle A median of a triangle is a segment from a vertex to

6.3MediansandAltitudesofTrianglesUsingthemedianofatriangleAmedianofatriangleisasegmentfromavertextothemidpointoftheoppositeside.Thepointwhereallthreeofthemediansintersectiscalledthecentroid.Example1:UsingthecentroidofatrianglePointQisthecentroid.SQ=8.FindQWandSW.Example2:FindtheCentroidofatriangle.FindthecentroidoftriangleRSTwiththevertices! 2, 1 , ! 5,8 ,!"# !(8,3)

Page 2: 6.3 Medians and Altitudes of Triangles · 1/6/2018 · 6.3 Medians and Altitudes of Triangles Using the median of a triangle A median of a triangle is a segment from a vertex to

UsingtheAltitudeofaTriangleAnaltitudeofatriangleistheperpendicularsegmentfromavertextotheoppositesideofthelineorthelinethatcontainstheoppositeside.

Page 3: 6.3 Medians and Altitudes of Triangles · 1/6/2018 · 6.3 Medians and Altitudes of Triangles Using the median of a triangle A median of a triangle is a segment from a vertex to

Example3:FindtheOrthocenterofatriangleFindthecentroidoftriangleRSTwiththevertices! −5,− 1 ,! −2,4 ,!"# !(3,−1)ChapterSummery:Homework3-13odd,17,20,23-26,31-36,41,44

Page 4: 6.3 Medians and Altitudes of Triangles · 1/6/2018 · 6.3 Medians and Altitudes of Triangles Using the median of a triangle A median of a triangle is a segment from a vertex to

Page 5: 6.3 Medians and Altitudes of Triangles · 1/6/2018 · 6.3 Medians and Altitudes of Triangles Using the median of a triangle A median of a triangle is a segment from a vertex to

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