Example 3 - Areas of Parallelograms and Triangles

Last updated at August 11, 2026 by

Example 3 - Show that median of a triangle divides it - Median divides triangle into two triangles of equal area

Example 3 - Chapter 9 Class 9 Areas of Parallelograms and Triangles - Part 2

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Example 3 Show that median of a triangle divides it into two triangles of equal area Given: A ABC with AD as the median BD = CD = 1/2 BC To prove: ar ( ABD) = ar ( ACD) Construction: Draw line AN BC Proof: To find area , we use formula Area of triangle = 1/2 Base Altitude From (2) & (3) ar ( ABD) = ar ( ACD) Hence proved

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