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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

In the figure ΔABC ~ ΔADE then the ratio of their corresponding sides is:

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प्रश्न


In the figure ΔABC ~ ΔADE then the ratio of their corresponding sides is:

पर्याय

  • `3/1`

  • `1/3`

  • `3/4`

  • `4/3`

MCQ
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उत्तर

`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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पाठ 4: Geometric Constructions - Exercise

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