Given: A Δ ABC in which DE||BC, and intersect AB in D and AC in E.
Construction: Join BE, CD and draw EF⊥ BA and DG⊥CA.
Area ∆ADE ==
Area ∆DBE = =
ΔDBE and ΔDEC are on the same base DE and b\w the same parallel DE and BC.
∴ Area (Δ DBE) = Area (ΔDEC)
⇒ [Taking reciprocal of both sides]
⇒ [Multiplying both sides by Area (Δ ADE)]
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