If a line intersects sides AB and AC of a `DeltaA B C`at D and E respectively and is parallel to BC, prove that `(A D)/(A B)=(A E)/(A C)`

If a line intersects sides AB and AC of a Delta ABC at D and E respectively and is parallel to BC, prove that (AD)/(AB)=(AE)/(AC)

if a line intersects sides AB and AC of a DeltaABC at D and E respectively and is parallel to BC, prove that (AD)/(AB)=(AE)/(AC) (see Fig. 6,13).

If a line intersects sides AB and AC of a triangleABC at D and E respectively and is parallel to BC, prove that (AD)/(AB)=(AE)/(AC) (see the given figure).

If a straight line intersects the sides AB and AC of a triangle ABC at D and E respectively and is parallel to BC , then (AE)/(AC) = . ………..

The vertices of A B C are A(4,\ 6),\ \ B(1,\ 5) and C(7,\ 2) . A line is drawn to intersect sides A B and A C at D and E respectively such that (A D)/(A B)=(A E)/(A C)=1/4 . Calculate the area of A D E and compare it with the area of A B C .

The vertices of A B C are A(4,\ 6),\ \ B(1,\ 5) and C(7,\ 2) . A line is drawn to intersect sides A B and A C at D and E respectively such that (A D)/(A B)=(A E)/(A C)=1/4 . Calculate the area of A D E and compare it with the area of A B C .

The vertices of a DeltaABC 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 DeltaA DE and compare it with the area of DeltaABC

ABCD is a trapezium with AB || DC. E and F are points on non-parallel sides AD and BC respectively such that EF is parallel to AB. Show that (A E)/(E D)=(B F)/(F C) .

A line parallel to BC of a triangle ABC, intersects AB and AC at D and E respectively. Prove that (AD//DB) =( AE//EC) .

The straight line parallel to the side BC of DeltaABC intersects the sides AB and AC at the points D and E respectively. Then (AB)/(BD)=(AC)/(CE) .