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Choose the correct alternative: 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? - Geometry Mathematics 2

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प्रश्न

Choose the correct alternative:

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?

विकल्प

  • 15

  • 13

  • 5

  • 12

MCQ
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उत्तर

13

In ∆PQR,

∠Q = 90°

∴ PR2 = PQ2 + QR2    ...[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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अध्याय 2: Pythagoras Theorem - Q.1 (A)

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