Mathematics
In the figure (1) given below, BC || AE and CD || BE. Prove that
area of ∆ABC= area of ∆EBD.
Theorems on Area
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Answer
Join CE and AC.
From figure,
∆ABC and ∆EBC lie on same base BC and between same parallel lines BC and AE.
∴ area of ∆ABC = area of ∆EBC ……. (i)
From figure,
∆EBC and ∆EBD lie on same base BE and between same parallel lines CD and BE.
∴ area of ∆EBC = area of ∆EBD ……. (ii)
From (i) and (ii), we get
area of ∆ABC = area of ∆EBD.
Hence, proved that area of ∆ABC = area of ∆EBD.
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