In fig. 8, the vertices of ΔABC are A(4,6), B(1,5) and C(7,2). A line-segment DE is drawn to intersect the sides AB and AC at D and E respectively such that ADAB=AEAC=13. Calculate the area of ΔADE and compare it with area of ΔABC.

In fig. 8, the vertices of ΔABC are A(4,6), B(1,5) and C(7,2). A line

1.	In fig. 8, the vertices of ΔABC are A(4,6), B(1,5) and C(7,2). A line-segment DE is drawn to intersect the sides AB and AC at D and E respectively such that ADAB=AEAC=13. Calculate the area of ΔADE and compare it with area of ΔABC.
Answer» In fig. 8, the vertices of $Δ A B C$ are $A (4, 6), B (1, 5)$ and $C (7, 2)$ . A line-segment DE is drawn to intersect the sides AB and AC at D and E respectively such that $\frac{A D}{A B} = \frac{A E}{A C} = \frac{1}{3}$ . Calculate the area of $Δ A D E$ and compare it with area of $Δ A B C$ .

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In fig. 8, the vertices of ΔABC are A(4,6), B(1,5) and C(7,2). A line-segment DE is drawn to intersect the sides AB and AC at D and E respectively such that ADAB=AEAC=13. Calculate the area of ΔADE and compare it with area of ΔABC.

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