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In quadrilateral PQRS, ∠Q = 90° = ∠S, SP = 15 cm, PQ = 7 cm, QR = 24 cm. The length of PR is ______. - Mathematics

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Question

In quadrilateral PQRS, ∠Q = 90° = ∠S, SP = 15 cm, PQ = 7 cm, QR = 24 cm.

The length of PR is ______.

Options

  • 28 cm

  • 26 cm

  • 25 cm

  • 30 cm

MCQ
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Solution

The length of PR is 25 cm.

Explanation:

By Pythagoras theorem,

PR2 = PQ2 + QR2

= 72 + 242

= 49 + 576

= 625

PR = `sqrt(625)`

= 25 cm

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Chapter 11: Pythagoras Theorem - MULTIPLE CHOICE QUESTIONS [Page 127]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 11 Pythagoras Theorem
MULTIPLE CHOICE QUESTIONS | Q 3. (i) | Page 127
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