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

A rectangle having length of a side is 12 and length of diagonal is 20, then what is length of other side? (A) 2 (B) 13 (C) 5 (D) 16

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प्रश्न

A rectangle having length of a side is 12 and length of diagonal is 20, then what is length of other side?

पर्याय

  • 2

  • 13

  • 5

  • 16

MCQ
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उत्तर

16

Explanation:


Let ABCD be the given rectangle.

AC = 20 units and BC = 12 units

In ∆ABC,

∠B = 90°

∴ AC2 = AB2 + BC2    ...[Pythagoras theorem]

∴ 202 = AB2 + 122

∴ 400 = AB2 + 144

∴ AB2 = 256

∴ AB = 16 units

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Converse of Pythagoras Theorem
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पाठ 2: Pythagoras Theorem - Exercise

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