ProofModerate2 marks
4(iii)
In the given diagram, DE || BC and AD : DB = 2 : 3.
Prove that : ΔADE ~ ΔABC and hence find DE : BC.
Topic: Similarity / scale factor
Previous-year question practice database
Answer
Exam answer
ΔADE ∼ ΔABC and DE : BC = 2 : 5.
Explanation
DE∥BC gives corresponding angles equal, so AA similarity. AD:AB=2:(2+3)=2:5, hence DE:BC=2:5.
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