The vertices of a ΔABC 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 ABAD=ACAE=41Calculate the area of the ΔADE and compare it with the area of ΔABC

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The vertices of a {A}{B}{C} are A(4,6), B(1,5) and C(7,2). A l

Question

The vertices of a $Δ A B C$ 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 the $Δ A D E$ and compare it with the area of $Δ A B C$

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The vertices of a

Δ A B C

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 the

Δ A D E

and compare it with the area of

Δ A B C

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Question Text

The vertices of a

Δ A B C

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 the

Δ A D E

and compare it with the area of

Δ A B C