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Median of a Triangle (and its Properties)
Last updated at May 31, 2026 by Teachoo
Class 9
Chapter 6 Class 9 - Measuring Space: Perimeter and Area (Ganita Manjar
- Definition (and Quesitons)
- Perimeter of Different Shapes
- Perimeter of a Circle - C/D Ratio
- Pi is Irrational
- Length of an Arc of a Circle
- Problems, Puzzles, and Paradoxes on Perimeter
- Exercise Set 6.1
- Area of Square & Rectangle
- Area of a Parallelogram
-
Area of a Triangle
- Heron's Formula
- Circumcircle and Incircle of a Triangle
- Brahmagupta’s Formula for the Area of a Cyclic 4-gon
- Squaring a Rectangle
- Exercise Set 6.2
- Area of a circle
- Exercise Set 6.3
- End-of-Chapter Exercises
Transcript
Median of a Triangle (and its Properties) Centroid WHAT IS A MEDIAN? A median of a triangle connects a vertex to the midpoint of the opposite side. A triangle has three medians They meet at a single point called the CENTROID. Centroid in Different types of Triangles Properties of Median CENTROID (Point of Concurrency) ◯ The medians always meet at the Centroid (G). G is the triangle's center of gravity.2:1 RATIO PROPERTY The centroid (G) divides each median in a 2:1 ratio. The distance from vertex to centroid is twice the distance from centroid to midpoint. IN SPECIAL TRIANGLES Isosceles Also median to the base is also an altitude and angle bisector. Equilateral All medians are also altitudes and angle bisectors.
