Maharashtra State BoardSSC (English Medium) 9th Standard
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Median of a Triangle

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Topics

definition

  • Median of the triangle: The line segment joining a vertex of a triangle to the midpoint of its opposite side is called a median of the triangle.
  • Centroid: The point of concurrency for the medians of a triangle.

notes

Medians Of A Triangle:

  • The line segment joining a vertex of a triangle to the midpoint of its opposite side is called a median of the triangle.

  • The line segment NM, joining the mid-point of `bar(LO)` to its opposite vertex L is called a median of the triangle.

  • A triangle has 3 medians.

  • The centroid is the point where the 3 median meets.

The property of the centroid of a triangle:

  • The medians of a triangle are concurrent. Their point of concurrence is called the Centroid and it is denoted by G.
  • The centroid of a triangle is located at the intersecting point of all three medians of a triangle
  • For all types of triangles, the location of G is in the interior of the triangles.
  • The centroid divides each median in the ratio 2: 1.
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