how to divide an equilateral triangle into three triangles of equal areas each
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let ABC a equilateral triangle
construct median AD and AE such that BD= DE= EC
in ∆ ABE AD is a median so
ar ( abd ) = ar ( ade). ....1
in ∆ ADC AE is a median so
ar( ade)= ar( AEC). ....2
from 1 and 2
we can conclude as that equilateral triangle is divided into three parts of equal area
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construct median AD and AE such that BD= DE= EC
in ∆ ABE AD is a median so
ar ( abd ) = ar ( ade). ....1
in ∆ ADC AE is a median so
ar( ade)= ar( AEC). ....2
from 1 and 2
we can conclude as that equilateral triangle is divided into three parts of equal area
if you like it then Mark my answer as brainlieast answer
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