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Diagonals AC and BD of a parallelogram ABCD intersect each other at O. If OA = 3 cm and OD = 2 cm, determine the lengths of AC and BD. - Mathematics

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प्रश्न

Diagonals AC and BD of a parallelogram ABCD intersect each other at O. If OA = 3 cm and OD = 2 cm, determine the lengths of AC and BD.

योग

उत्तर

Given, ABCD is a parallelogram OA = 3 cm and OD = 2 cm


We know that, diagonals of a parallelogram bisect each other.

∴ Diagonal AC = 2OA = 6 cm   ...[∵ AO = OC]

And Diagonal BD = 2OD = 4 cm  ...[∵ BO = OD]

Hence, the length of the diagonals AC and BD are 6 cm and 4 cm, respectively.

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 8: Quadrilaterals - Exercise 8.2 [पृष्ठ ७५]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 9
अध्याय 8 Quadrilaterals
Exercise 8.2 | Q 1. | पृष्ठ ७५

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