NEET Class neet Answered
Median of triangle is equal to √3/2a then how half of median is a/√3
Asked by anuduttap | 15 Aug, 2022, 18:18: PM
Expert Answer
Let a be side of equilateral triangle .
Half meridian is not ( a / √3 ) . All meridians intersect at a point G that is known as centroid of triangle .
Segment of meridian from centroid G to mid point of opposite side is ( a / √3 ) .
In figure , GD = GE = GF = ( a / √3 )
Centroid G divides the meridians in the ratio 2 : 1
For example , AG : GD = 2 : 1
Hence , it can be calculated that , if AD = (√3 /2 ) a , then GD = (2/3) (√3 /2 ) a = ( a / √3 )
similarly for GE and GF
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