Medians and Centroid of a Triangle

Learn what medians are and how they meet at the centroid, dividing each median in a 2:1 ratio. Let’s get started! 🚀

Medians and Centroid of a Triangle - introduction visual

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The definition of a median of a triangle is that it connects a vertex to the midpoint of the opposite side, dividing it into two equal-area triangles.The definition of the centroid of a triangle is the point where the three medians intersect, dividing each median in a 2:1 ratio.The median and centroid of a triangle apply to the problem.

🛎️ Median of a Triangle

  • A median joins a vertex to the midpoint of the opposite side.
  • A median splits a triangle into two smaller triangles with equal area.

🛎️ Centroid of a Triangle

  • The centroid is the point where the three medians meet.
  • It divides each median in the ratio 2 : 1, measured from the vertex.

🛎️ Using Medians and the Centroid

  • A median always goes to the midpoint of the opposite side.
  • The centroid splits each median in a 2 : 1 ratio, with the longer part next to the vertex.

Practice Questions

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Interactive Activity

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