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Mathematics
9. Quadrilaterals and Parallelograms
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Q6 of 109 Page 318

The lengths of the diagonals of a rhombus are 16 cm and 12 cm. The length of each side of the rhombus is

Let us assume a rhombus ABCD where,

AB = BC = CD = DA


Now, in triangle OBC by using Pythagoras theorem we get:


BC2 = OB2 + OC2


BC2 = 62 + 82


BC2 = 36 + 64


BC2 = 100


BC = √100


BC = 10 cm


∴ AB = BC = CD = DA = 10 cm


Hence, option (A) is correct

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The length of each side of a rhombus is 10cm and one of its diagonals is of length 16 cm. The length of the other diagonal is

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Questions · 109
9. Quadrilaterals and Parallelograms
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