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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

संबंधित प्रश्‍न

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∆ABC ∼ ∆AQR. `(AB)/(AQ) = 7/5`, then which of the following option is true?


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If the point P(6, 7) divides the segment joining A(8, 9) and B(1, 2) in some ratio, find that ratio.

Solution:

Point P divides segment AB in the ratio m : n.

A(8, 9) = (x1, y1), B(1, 2) = (x2, y2) and P(6, 7) = (x, y)

Using Section formula of internal division,

∴ `7 = (m(square) - n(9))/(m + n)`

∴ 7m + 7n = `square` + 9n

∴ 7m – `square` = 9n – `square`

∴ `square` = 2n

∴ `m/n = square`


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