मराठी

In the given figure, ΔABC ∼ ΔQPR, If AC = 6 cm, BC = 5 cm, QR = 3 cm and PR = x; them the value of x is ______. - Mathematics

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प्रश्न

In the given figure, ΔABC ∼ ΔQPR, If AC = 6 cm, BC = 5 cm, QR = 3 cm and PR = x; them the value of x is ______.

पर्याय

  • 3.6 cm

  • 2.5 cm

  • 10 cm

  • 3.2 cm

MCQ
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उत्तर

In the given figure, ΔABC ∼ ΔQPR, If AC = 6 cm, BC = 5 cm, QR = 3 cm and PR = x; them the value of x is 2.5 cm.


Explanation:

Given, ΔABC ∼ ΔQPR

AC = 6 cm, BC = 5 cm, QR = 3 cm and PR = x

Since, triangles are similar

∴ `(AC)/(QR) = (BC)/(PR)`  ...(By proportionality theorem)

`\implies 6/3 = 5/x`

`\implies` x = `(5 xx 3)/6`

= `5/2`

= 2.5 cm

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2022-2023 (March) Standard - Delhi Set 1
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