हिंदी

Statement (1): ABCD is a rhombus, its diagonal AC = 16 cm and diagonal BD = 12 cm, perimeter of rhombus = 64 cm. Statement (2): OA = 8 cm, OB = 6 cm. Then, AB = 10 cm and perimeter of rhombus = 40 cm.

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प्रश्न

Statement (1): ABCD is a rhombus, its diagonal AC = 16 cm and diagonal BD = 12 cm, perimeter of rhombus = 64 cm.

Statement (2): OA = 8 cm, OB = 6 cm. Then, AB = 10 cm and perimeter of rhombus = 40 cm.

विकल्प

  • Both the statements are true.

  • Both the statements are false.

  • Statement 1 is true, and statement 2 is false.

  • Statement 1 is false, and statement 2 is true.

MCQ
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उत्तर

Statement 1 is false, and statement 2 is true.

Explanation:

In a rhombus, the diagonals bisect each other at right angles, giving half-diagonal lengths of 8 cm and 6 cm. Applying Pythagoras’ theorem yields a side length of 10 cm and a true perimeter of 40 cm, making Statement (1) incorrect and Statement (2) correct.

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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. (e) | पृष्ठ १८४
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