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

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 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 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 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) = . ………..

In a Delta ABC line DE is parallel to BC.Prove that (AD)/(AB)=(DE)/(BC)=(AD)/(AC)

In each of the following questions, we ask you to prove a statement. List all the steps in each proof, ang give the reason for each step. 6. A line parallel to side BC of a triangle ABC ,intersects AB and AC at D and E respectively. Prove that (AD)/(DB)=(AE)/(EC) .

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 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

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