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Question
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.
Options
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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Solution
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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