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Question

If length of the diagonals of rhombus ABCD are 8 cm and 6 cm, then each of its sides is .

A
10 cm
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B
5 cm
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C
7 cm
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D
4 cm
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Solution

The correct option is B 5 cm

Since diagonals of the rhombus intersect at 90 and they bisect each other we can find the length of the side using Pythagoras theorem.

If AC = 8 cm, BD = 6 cm, then OD = OB = 3 cm and OA = OC = 4 cm

In OBC,

OB2 + OC2 = BC2

32 + 42 = BC2

9 + 16 = BC2

25 = BC2

∴ BC = 5 cm
Each side of the rhombus = 5cm.


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