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Question
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
`bb(4/3)`
Explanation:
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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