find the ratio of area of triangles ABC and CEA , If the ratio of sides BC:CE=1:4
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Given : ratio of sides BC:CE=1:4
To Find : ratio of area of triangles ABC and CEA
Solution:
Let draw AD ⊥ BE
Hence area of Δ ABC = (1/2) BC * AD
area of Δ ACE = (1/2) * CE * AD
area of Δ ABC / area of Δ ACE = (1/2) BC * AD / (1/2) * CE * AD
=> area of Δ ABC / area of Δ ACE = BC/CE
BC/CE = 1/4
=> area of Δ ABC / area of Δ ACE = 1/4
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