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Study the following carefully and answer the questions :

In the given figure, ABCD is a rhombus in which diagonals AC and BD are 8 cm and 6 cm respectively. Diagonals intersect each other at O.

Figure for CUET General Test 2022 24 Aug Shift 1 question 55 (Geometry)

Side of the rhombus is :

Entered answer:

Solution

Correct Answer: 1

Diagonals of a rhombus bisect each other at right angles. Half-diagonals are 82=4\frac{8}{2} = 4 cm and 62=3\frac{6}{2} = 3 cm. Side of the rhombus = 42+32=25=5\sqrt{4^2 + 3^2} = \sqrt{25} = 5 cm.

Note: The options for this question are not visible in the source paper. We have provided the computed value (5 cm) but cannot map it to a specific option.

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