if A(4,2),B(7,6) and C(1,4)are the vertices of a triangle ABC and AD is it median prove that median prove that median AD divide triangle ABC in the 2 triangles of equal area
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let the triangle ABC
such that D is the half of BC
according to mid point formula D is (3,1)
let the triangle ABD and ADC
to prove that their areas are equal
according to triangle formula area of triangle ABD area is half also its clear that triangle ABD is half of ABC as well as ADC is also half of triangle ABC . that's why triangle ABD=ABC in area .
hence proved . Hopes it help u mark it as a brainlist answer .
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