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Example 3 - Areas of Parallelograms and Triangles
Last updated at April 16, 2024 by Teachoo
Median divides triangle into two triangles of equal area
Areas of Parallelograms and Triangles
Concept wise
- Introduction
- Paralleograms with same base & same parallel lines
- Triangles with same base & same parallel lines
- Paralleograms & triangles with same base & same parallel lines
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Median divides triangle into two triangles of equal area
Transcript
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
