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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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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.