 Hi friends, so in this question it is given that D is parallel to AC, so let's Figure out where is D e so D a chair so point this point happens to be D so D e is parallel to AC and DC is parallel to DC is parallel to AP Okay, and you have to prove this that be by EC is equal to BC by CP again, if you see there is a triangle there are parallel lines and Ratios are involved So what comes to the mind first and that's nothing but Basic proportionality theorem right so you can write in triangle B C a BC a since ED is parallel to AC Therefore, we know B e upon EC will be equal to Bd upon Da right point number one Secondly now I'm writing here in Triangle B P a B P a again by BP T so you can write here from Basic proportionality theorem Okay, so by same logic in BPA you can write CD is parallel to PA Hence Hence what will happen? BC by CP Is equal to Bd by Da okay BC by CP is equal to Bd by Da again by By BP T or from BP T whichever way you want, right? Okay, now So this you can write as to right to so you can now write from One and two From one and two you can write be by EC is equal to is equal to BC by CP why because both are equal to Bd by Da right hence Proved okay, so again thought process was you saw a triangle there are parallel lines and they are talking about Ratios so first thing which you should definitely explore is application of basic proportionality theorem