Prove that a median divides a triangle into two triangle of equal area

 

 

 

 

Asked by bhardwajvishesh2004 | 28th Nov, 2018, 04:18: PM

Expert Answer:

In ΔABC, AD is the median.
BD = CD
 
Draw AE begin mathsize 16px style perpendicular end style BC
Area of ΔABD = 1/2 × BD × AE = 1/2 × CD × AE = Area of ΔADC
Therefore the median divides a triangle into two triangle of equal area.

Answered by Yasmeen Khan | 28th Nov, 2018, 04:51: PM