In a given figure BC is parallel to DE.Prove that: area ∆ABE =area ∆ACD
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From the figure ,
BC //DE ,
i)
BC//DE,
Area ∆CBE = Area ∆CBD --(1)
/* Triangles on the as same base (or equal bases ) and between the same parallels are equal in area */
ii ) Now,
Area ∆ABE
= Area ∆ABC + Area ∆CBE
= Area ∆ABC + Area ∆CBD /* From (1) */
= ∆ACD
Therefore,
area ∆ABE = Area ∆ACD
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