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If the sides of a rectangle are 6 cm and 8 cm then the length of its diagonal is ______. - Mathematics

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Question

If the sides of a rectangle are 6 cm and 8 cm then the length of its diagonal is ______.

Options

  • 9 cm

  • 10 cm

  • 12 cm

  • 14 cm

MCQ
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Solution

If the sides of a rectangle are 6 cm and 8 cm then the length of its diagonal is 10 cm.

Explanation:

The diagonal is the hypotenuse of a right triangle with legs 6 cm and 8 cm.

By the Pythagorean theorem:

Diagonal = `sqrt(6^2 + 8^2)`

= `sqrt(36 + 64)`

= `sqrt(100)`

= 10 cm

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Chapter 10: Pythagoras Theorem - Exercise 10B [Page 212]

APPEARS IN

Nootan Mathematics [English] Class 9 ICSE
Chapter 10 Pythagoras Theorem
Exercise 10B | Q 6. | Page 212
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