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

In right angled triangle, if sum of the squares of the sides of right angle is 169, then what is the length of the hypotenuse? (A) 15 (B) 13 (C) 5 (D) 12

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प्रश्न

In right angled triangle, if sum of the squares of the sides of right angle is 169, then what is the length of the hypotenuse?

पर्याय

  • 15

  • 13

  • 5

  • 12

MCQ
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उत्तर

13

Explanation:


In ∆PQR,

∠Q = 90°

∴ PR2 = PQ2 + QR   ...[Pythagoras theorem]

∴ PR2 = 169   ...[Given]

∴ PR = `sqrt(169)`

Taking square root both the sides,

∴ PR = 13

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Converse of Pythagoras Theorem
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