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

  1. Chapter 9 Class 9 Areas of parallelograms and Triangles
  2. Serial order wise
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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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