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Choose the correct alternative: In the figure ΔABC ~ ΔADE then the ratio of their corresponding sides is - Geometry

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MCQ
Fill in the Blanks

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)]

Concept: Division of a Line Segment
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