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In the given figure, ABCD is a rectangle. As per the given information, the length of PQ is:

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Question

In the given figure, ABCD is a rectangle. As per the given information, the length of PQ is:

Options

  • 12 cm

  • 14 cm

  • 20 cm

  • 10 cm

MCQ
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Solution

10 cm

Explanation:

Since P and Q are the midpoints of sides AB and BC respectively, PB = 8 cm and QB = 6 cm. Applying the Pythagorean theorem in right-angled triangle PBQ, the length of PQ is `sqrt{8^2 + 6^2} = sqrt{100}` = 10 cm.

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Chapter 11: Mid-point Theorem and Its Converse [Including Intercept Theorem] - Exercise 11 (A) [Page 168]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 11 Mid-point Theorem and Its Converse [Including Intercept Theorem]
Exercise 11 (A) | Q 1. (a) | Page 168
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