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Chapter 5 Medians of a Triangle. Median of a triangle Starts at a vertex and divides a side into two congruent segments (midpoint).

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Presentation on theme: "Chapter 5 Medians of a Triangle. Median of a triangle Starts at a vertex and divides a side into two congruent segments (midpoint)."— Presentation transcript:

1 Chapter 5 Medians of a Triangle

2 Median of a triangle Starts at a vertex and divides a side into two congruent segments (midpoint).

3 Centroid of the triangle The point of concurrency of the three medians of a triangle. Always lies inside the triangle!

4 B C A Always Inside!

5 Median formula The medians of a triangle intersect at a point that is in a 2:1 ratio. –F–From vertex to centroid=2 –C–Centroid to side=1

6 P is the centroid of triangle ABC D B C A P F E 6 3 2 4 If EC = 12, EP = ___ and PC = ___ 4 8


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