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Question
Choose the correct alternative:
In the figure ΔABC ~ ΔADE then the ratio of their corresponding sides is ______
Options
`3/1`
`1/3`
`3/4`
`4/3`
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Solution
`4/3`
From the given figure, we get that
AD = 3 units, DB = 1 units, and AB = 4 units ...(i)
As ∆ABC ∼ ∆ADE, we get
`"AB"/"AD" = "BC"/"DE" = "AC"/"AE"` ...[Ratio of Corresponding sides of similar triangles]
∴ `4/3 = "BC"/"DE" = "AC"/"AE"` ...[From (i)]
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