Median divides triangle into two triangles of equal area
Median divides triangle into two triangles of equal area
Last updated at April 16, 2024 by Teachoo
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