Question 6The vertices of triangle 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 ADAB=AEAC=14. Calculate the area of triangle ADE and compare it with area of triangle ABC.

Question 6The vertices of triangle ABC are A (4, 6), B (1, 5) and C (7

1.	Question 6The vertices of triangle 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 ADAB=AEAC=14. Calculate the area of triangle ADE and compare it with area of triangle ABC.
Answer» Question 6 The vertices of triangle 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 $\frac{A D}{A B} = \frac{A E}{A C} = \frac{1}{4}$ . Calculate the area of triangle ADE and compare it with area of triangle ABC.