If a line intersects sides AB and AC of a △ABC at D and E respectively and is parallel to BC, then ADAB = AEx Then x is
____.AC
DE∥ BC, Applying BPT
So, ADDB = AEEC
Reciprocating, DBAD = ECAE
Adding 1 on both sides:
We get, ABAD = ACAE.
Hence, ADAB = AEAC.