In ∆ABC, D and E are the points on sides AB and BC respectively such t
| In ∆ABC, D and E are the points on sides AB and BC respectively such that DE || AC. If AD : DB = 5 : 3, then what is the ratio of the area of ∆BDE so that of the trapezium ACED?
A. 9 : 55
B. 9 : 64
C. 1 : 6
D. 4 : 25
Right Answer is: A
SOLUTION
DE || AC
∠BDE = ∠BAC
∠BED = ∠BCA
∠B = ∠B
Hence, ∆BDE ~ ∆BAC
Ratio of Area –
Required –
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