हिंदी

The sides of a rectangle are 12 cm and 16 cm. The length of its diagonal is ______.

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प्रश्न

The sides of a rectangle are 12 cm and 16 cm. The length of its diagonal is ______.

विकल्प

  • 28 cm

  • 4 cm

  • `sqrt{12^2 + 16^2}" cm"`

  • `sqrt{16^2 - 12^2}" cm"`

MCQ
रिक्त स्थान भरें
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उत्तर

The sides of a rectangle are 12 cm and 16 cm. The length of its diagonal is `bbunderline(sqrt{12^2 + 16^2}" cm")`.

Explanation:

The diagonal of a rectangle forms the hypotenuse of a right-angled triangle with the two adjacent sides acting as its perpendicular legs. Applying Pythagoras’ theorem gives the length of the diagonal as the square root of the sum of the squares of these two side lengths, giving `sqrt{12^2 + 16^2}" cm"`.

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अध्याय 12: Pythagoras Theorem [Proof and Simple Applications with Converse] - TEST YOURSELF [पृष्ठ १८४]

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सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 12 Pythagoras Theorem [Proof and Simple Applications with Converse]
TEST YOURSELF | Q 1. (d) | पृष्ठ १८४
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