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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 the midpoint of the opposite side. The point where all three of the medians intersect is called the centroid. Example 1: Using the centroid of a triangle Point Q is the centroid. SQ=8. Find QW and SW. Example 2: Find the Centroid of a triangle. Find the centroid of triangle RST with the vertices ! 2, 1 , ! 5,8 , !"# !(8,3)

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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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