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The vertices of a Delta ABC are A (4,6),...

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 `Delta` ADE and compare it with area of `Delta` ABC

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The correct Answer is:
`DeltaABC =(1/4)^(2)=1/16`
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