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[" 6.The vertices of a "Delta ABC" are "...

[" 6.The vertices of a "Delta ABC" are "A(4,6),B(1,5)" and "C(7,2)" .A line is drawn to intersect sides "],[" AB and "AC" at "D" and "E" respectively,such that "(AD)/(AB)=(AE)/(AC)=(1)/(4)" .Calculate the area of the "],[/_" ADE and compare it with the area of "Delta ABC" .(Recall Theorem "6.2" and Theorem "6.6" )."]

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