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

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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