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 transcript:

Chapter 5 Medians of a Triangle

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

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

B C A Always Inside!

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

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